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Finding the Fourth Proportional to 149,972.70, 224,963.10 and 65,689.50

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Solution

The fourth proportional to 149,972.70, 224,963.10 and 65,689.50 is: 98,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,972.70 : 224,963.10 = 65,689.50 : x
  2. Step 2: Convert to fraction form
    149,972.70/224,963.10 = 65,689.50/x
  3. Step 3: Cross multiply
    149,972.70x = 224,963.10 × 65,689.50
  4. Step 4: Simplify right side
    149,972.70x = 14,777,713,557.45
  5. Step 5: Solve for x
    x = 14,777,713,557.45/149,972.70
  6. Step 6: Final answer
    x = 98,536.02

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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.