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Finding the Fourth Proportional to 42,285, 63,425.07 and 12,702.18

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Solution

The fourth proportional to 42,285, 63,425.07 and 12,702.18 is: 19,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,285 : 63,425.07 = 12,702.18 : x
  2. Step 2: Convert to fraction form
    42,285/63,425.07 = 12,702.18/x
  3. Step 3: Cross multiply
    42,285x = 63,425.07 × 12,702.18
  4. Step 4: Simplify right side
    42,285x = 805,636,655.65
  5. Step 5: Solve for x
    x = 805,636,655.65/42,285
  6. Step 6: Final answer
    x = 19,052.54

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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.