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Finding the Fourth Proportional to 98,408.34, 147,583.62 and 45,070.20

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Solution

The fourth proportional to 98,408.34, 147,583.62 and 45,070.20 is: 67,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,408.34 : 147,583.62 = 45,070.20 : x
  2. Step 2: Convert to fraction form
    98,408.34/147,583.62 = 45,070.20/x
  3. Step 3: Cross multiply
    98,408.34x = 147,583.62 × 45,070.20
  4. Step 4: Simplify right side
    98,408.34x = 6,651,623,270.12
  5. Step 5: Solve for x
    x = 6,651,623,270.12/98,408.34
  6. Step 6: Final answer
    x = 67,592.07

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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.