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Finding the Fourth Proportional to 147,978.21, 221,969.36 and 48,138.93

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Solution

The fourth proportional to 147,978.21, 221,969.36 and 48,138.93 is: 72,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,978.21 : 221,969.36 = 48,138.93 : x
  2. Step 2: Convert to fraction form
    147,978.21/221,969.36 = 48,138.93/x
  3. Step 3: Cross multiply
    147,978.21x = 221,969.36 × 48,138.93
  4. Step 4: Simplify right side
    147,978.21x = 10,685,367,483.18
  5. Step 5: Solve for x
    x = 10,685,367,483.18/147,978.21
  6. Step 6: Final answer
    x = 72,209.06

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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.