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Finding the Fourth Proportional to 52,642.61, 72,646.68 and 29,981.60

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Solution

The fourth proportional to 52,642.61, 72,646.68 and 29,981.60 is: 41,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.61 : 72,646.68 = 29,981.60 : x
  2. Step 2: Convert to fraction form
    52,642.61/72,646.68 = 29,981.60/x
  3. Step 3: Cross multiply
    52,642.61x = 72,646.68 × 29,981.60
  4. Step 4: Simplify right side
    52,642.61x = 2,178,063,701.09
  5. Step 5: Solve for x
    x = 2,178,063,701.09/52,642.61
  6. Step 6: Final answer
    x = 41,374.54

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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.