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Finding the Fourth Proportional to 78,302.48, 117,471 and 22,898.96

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Solution

The fourth proportional to 78,302.48, 117,471 and 22,898.96 is: 34,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.48 : 117,471 = 22,898.96 : x
  2. Step 2: Convert to fraction form
    78,302.48/117,471 = 22,898.96/x
  3. Step 3: Cross multiply
    78,302.48x = 117,471 × 22,898.96
  4. Step 4: Simplify right side
    78,302.48x = 2,689,963,730.16
  5. Step 5: Solve for x
    x = 2,689,963,730.16/78,302.48
  6. Step 6: Final answer
    x = 34,353.49

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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.