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Finding the Fourth Proportional to 45,312.68, 67,972.56 and 12,032

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Solution

The fourth proportional to 45,312.68, 67,972.56 and 12,032 is: 18,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312.68 : 67,972.56 = 12,032 : x
  2. Step 2: Convert to fraction form
    45,312.68/67,972.56 = 12,032/x
  3. Step 3: Cross multiply
    45,312.68x = 67,972.56 × 12,032
  4. Step 4: Simplify right side
    45,312.68x = 817,845,841.92
  5. Step 5: Solve for x
    x = 817,845,841.92/45,312.68
  6. Step 6: Final answer
    x = 18,048.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.