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Finding the Fourth Proportional to 142,294.68, 213,472.80 and 75,725.06

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Solution

The fourth proportional to 142,294.68, 213,472.80 and 75,725.06 is: 113,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,294.68 : 213,472.80 = 75,725.06 : x
  2. Step 2: Convert to fraction form
    142,294.68/213,472.80 = 75,725.06/x
  3. Step 3: Cross multiply
    142,294.68x = 213,472.80 × 75,725.06
  4. Step 4: Simplify right side
    142,294.68x = 16,165,239,521.00
  5. Step 5: Solve for x
    x = 16,165,239,521.00/142,294.68
  6. Step 6: Final answer
    x = 113,603.96

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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.