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Finding the Fourth Proportional to 71,600.72, 107,431.32 and 38,312

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Solution

The fourth proportional to 71,600.72, 107,431.32 and 38,312 is: 57,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,600.72 : 107,431.32 = 38,312 : x
  2. Step 2: Convert to fraction form
    71,600.72/107,431.32 = 38,312/x
  3. Step 3: Cross multiply
    71,600.72x = 107,431.32 × 38,312
  4. Step 4: Simplify right side
    71,600.72x = 4,115,908,731.84
  5. Step 5: Solve for x
    x = 4,115,908,731.84/71,600.72
  6. Step 6: Final answer
    x = 57,484.18

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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.