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Finding the Fourth Proportional to 78,364, 117,545.76 and 28,444.04

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Solution

The fourth proportional to 78,364, 117,545.76 and 28,444.04 is: 42,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,364 : 117,545.76 = 28,444.04 : x
  2. Step 2: Convert to fraction form
    78,364/117,545.76 = 28,444.04/x
  3. Step 3: Cross multiply
    78,364x = 117,545.76 × 28,444.04
  4. Step 4: Simplify right side
    78,364x = 3,343,476,299.27
  5. Step 5: Solve for x
    x = 3,343,476,299.27/78,364
  6. Step 6: Final answer
    x = 42,665.97

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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.