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Finding the Fourth Proportional to 102,713.40, 153,851.40 and 85,217.40

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Solution

The fourth proportional to 102,713.40, 153,851.40 and 85,217.40 is: 127,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,713.40 : 153,851.40 = 85,217.40 : x
  2. Step 2: Convert to fraction form
    102,713.40/153,851.40 = 85,217.40/x
  3. Step 3: Cross multiply
    102,713.40x = 153,851.40 × 85,217.40
  4. Step 4: Simplify right side
    102,713.40x = 13,110,816,294.36
  5. Step 5: Solve for x
    x = 13,110,816,294.36/102,713.40
  6. Step 6: Final answer
    x = 127,644.65

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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.