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Finding the Fourth Proportional to 149,983.20, 224,978.85 and 65,700

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Solution

The fourth proportional to 149,983.20, 224,978.85 and 65,700 is: 98,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,983.20 : 224,978.85 = 65,700 : x
  2. Step 2: Convert to fraction form
    149,983.20/224,978.85 = 65,700/x
  3. Step 3: Cross multiply
    149,983.20x = 224,978.85 × 65,700
  4. Step 4: Simplify right side
    149,983.20x = 14,781,110,445
  5. Step 5: Solve for x
    x = 14,781,110,445/149,983.20
  6. Step 6: Final answer
    x = 98,551.77

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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.