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Finding the Fourth Proportional to 61,421.76, 92,152.08 and 21,978

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Solution

The fourth proportional to 61,421.76, 92,152.08 and 21,978 is: 32,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,421.76 : 92,152.08 = 21,978 : x
  2. Step 2: Convert to fraction form
    61,421.76/92,152.08 = 21,978/x
  3. Step 3: Cross multiply
    61,421.76x = 92,152.08 × 21,978
  4. Step 4: Simplify right side
    61,421.76x = 2,025,318,414.24
  5. Step 5: Solve for x
    x = 2,025,318,414.24/61,421.76
  6. Step 6: Final answer
    x = 32,973.96

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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.