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Finding the Fourth Proportional to 102,614.81, 153,645.42 and 66,987.90

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Solution

The fourth proportional to 102,614.81, 153,645.42 and 66,987.90 is: 100,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,614.81 : 153,645.42 = 66,987.90 : x
  2. Step 2: Convert to fraction form
    102,614.81/153,645.42 = 66,987.90/x
  3. Step 3: Cross multiply
    102,614.81x = 153,645.42 × 66,987.90
  4. Step 4: Simplify right side
    102,614.81x = 10,292,384,030.42
  5. Step 5: Solve for x
    x = 10,292,384,030.42/102,614.81
  6. Step 6: Final answer
    x = 100,301.16

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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.