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Finding the Fourth Proportional to 74,876.16, 112,313.92 and 19,472

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Solution

The fourth proportional to 74,876.16, 112,313.92 and 19,472 is: 29,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,876.16 : 112,313.92 = 19,472 : x
  2. Step 2: Convert to fraction form
    74,876.16/112,313.92 = 19,472/x
  3. Step 3: Cross multiply
    74,876.16x = 112,313.92 × 19,472
  4. Step 4: Simplify right side
    74,876.16x = 2,186,976,650.24
  5. Step 5: Solve for x
    x = 2,186,976,650.24/74,876.16
  6. Step 6: Final answer
    x = 29,207.92

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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.