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Finding the Fourth Proportional to 61,476.60, 92,214.90 and 42,814.20

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Solution

The fourth proportional to 61,476.60, 92,214.90 and 42,814.20 is: 64,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,476.60 : 92,214.90 = 42,814.20 : x
  2. Step 2: Convert to fraction form
    61,476.60/92,214.90 = 42,814.20/x
  3. Step 3: Cross multiply
    61,476.60x = 92,214.90 × 42,814.20
  4. Step 4: Simplify right side
    61,476.60x = 3,948,107,171.58
  5. Step 5: Solve for x
    x = 3,948,107,171.58/61,476.60
  6. Step 6: Final answer
    x = 64,221.30

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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.