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Finding the Fourth Proportional to 42,499.60, 63,751.68 and 12,918.40

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Solution

The fourth proportional to 42,499.60, 63,751.68 and 12,918.40 is: 19,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,499.60 : 63,751.68 = 12,918.40 : x
  2. Step 2: Convert to fraction form
    42,499.60/63,751.68 = 12,918.40/x
  3. Step 3: Cross multiply
    42,499.60x = 63,751.68 × 12,918.40
  4. Step 4: Simplify right side
    42,499.60x = 823,569,702.91
  5. Step 5: Solve for x
    x = 823,569,702.91/42,499.60
  6. Step 6: Final answer
    x = 19,378.29

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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.