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Finding the Fourth Proportional to 56,002.70, 77,280.80 and 34,781.52

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Solution

The fourth proportional to 56,002.70, 77,280.80 and 34,781.52 is: 47,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,002.70 : 77,280.80 = 34,781.52 : x
  2. Step 2: Convert to fraction form
    56,002.70/77,280.80 = 34,781.52/x
  3. Step 3: Cross multiply
    56,002.70x = 77,280.80 × 34,781.52
  4. Step 4: Simplify right side
    56,002.70x = 2,687,943,690.82
  5. Step 5: Solve for x
    x = 2,687,943,690.82/56,002.70
  6. Step 6: Final answer
    x = 47,996.68

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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.