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Finding the Fourth Proportional to 137,607.80, 206,411.70 and 123,829.70

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Solution

The fourth proportional to 137,607.80, 206,411.70 and 123,829.70 is: 185,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,607.80 : 206,411.70 = 123,829.70 : x
  2. Step 2: Convert to fraction form
    137,607.80/206,411.70 = 123,829.70/x
  3. Step 3: Cross multiply
    137,607.80x = 206,411.70 × 123,829.70
  4. Step 4: Simplify right side
    137,607.80x = 25,559,898,887.49
  5. Step 5: Solve for x
    x = 25,559,898,887.49/137,607.80
  6. Step 6: Final answer
    x = 185,744.55

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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.