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Finding the Fourth Proportional to 52,642.60, 78,972.10 and 31,577.69

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Solution

The fourth proportional to 52,642.60, 78,972.10 and 31,577.69 is: 47,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.60 : 78,972.10 = 31,577.69 : x
  2. Step 2: Convert to fraction form
    52,642.60/78,972.10 = 31,577.69/x
  3. Step 3: Cross multiply
    52,642.60x = 78,972.10 × 31,577.69
  4. Step 4: Simplify right side
    52,642.60x = 2,493,756,314.79
  5. Step 5: Solve for x
    x = 2,493,756,314.79/52,642.60
  6. Step 6: Final answer
    x = 47,371.45

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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.