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Finding the Fourth Proportional to 56,430, 77,876.10 and 31,279.50

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Solution

The fourth proportional to 56,430, 77,876.10 and 31,279.50 is: 43,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,430 : 77,876.10 = 31,279.50 : x
  2. Step 2: Convert to fraction form
    56,430/77,876.10 = 31,279.50/x
  3. Step 3: Cross multiply
    56,430x = 77,876.10 × 31,279.50
  4. Step 4: Simplify right side
    56,430x = 2,435,925,469.95
  5. Step 5: Solve for x
    x = 2,435,925,469.95/56,430
  6. Step 6: Final answer
    x = 43,167.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.