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Finding the Fourth Proportional to 61,415.76, 92,143.08 and 21,972

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Solution

The fourth proportional to 61,415.76, 92,143.08 and 21,972 is: 32,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,415.76 : 92,143.08 = 21,972 : x
  2. Step 2: Convert to fraction form
    61,415.76/92,143.08 = 21,972/x
  3. Step 3: Cross multiply
    61,415.76x = 92,143.08 × 21,972
  4. Step 4: Simplify right side
    61,415.76x = 2,024,567,753.76
  5. Step 5: Solve for x
    x = 2,024,567,753.76/61,415.76
  6. Step 6: Final answer
    x = 32,964.95

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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.