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Finding the Fourth Proportional to 100,016.50, 138,017.10 and 54,686.02

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Solution

The fourth proportional to 100,016.50, 138,017.10 and 54,686.02 is: 75,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,016.50 : 138,017.10 = 54,686.02 : x
  2. Step 2: Convert to fraction form
    100,016.50/138,017.10 = 54,686.02/x
  3. Step 3: Cross multiply
    100,016.50x = 138,017.10 × 54,686.02
  4. Step 4: Simplify right side
    100,016.50x = 7,547,605,890.94
  5. Step 5: Solve for x
    x = 7,547,605,890.94/100,016.50
  6. Step 6: Final answer
    x = 75,463.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.