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Finding the Fourth Proportional to 137,752.13, 206,628.20 and 54,646.13

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Solution

The fourth proportional to 137,752.13, 206,628.20 and 54,646.13 is: 81,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,752.13 : 206,628.20 = 54,646.13 : x
  2. Step 2: Convert to fraction form
    137,752.13/206,628.20 = 54,646.13/x
  3. Step 3: Cross multiply
    137,752.13x = 206,628.20 × 54,646.13
  4. Step 4: Simplify right side
    137,752.13x = 11,291,430,172.49
  5. Step 5: Solve for x
    x = 11,291,430,172.49/137,752.13
  6. Step 6: Final answer
    x = 81,969.19

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1.5x scale

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.