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Finding the Fourth Proportional to 120,395,978.20, 180,583,469.70 and 39,616,946.20

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Solution

The fourth proportional to 120,395,978.20, 180,583,469.70 and 39,616,946.20 is: 59,421,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,395,978.20 : 180,583,469.70 = 39,616,946.20 : x
  2. Step 2: Convert to fraction form
    120,395,978.20/180,583,469.70 = 39,616,946.20/x
  3. Step 3: Cross multiply
    120,395,978.20x = 180,583,469.70 × 39,616,946.20
  4. Step 4: Simplify right side
    120,395,978.20x = 7,154,165,603,714,230
  5. Step 5: Solve for x
    x = 7,154,165,603,714,230/120,395,978.20
  6. Step 6: Final answer
    x = 59,421,965.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.