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Finding the Fourth Proportional to 78,417.96, 117,631.44 and 22,253.68

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Solution

The fourth proportional to 78,417.96, 117,631.44 and 22,253.68 is: 33,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,417.96 : 117,631.44 = 22,253.68 : x
  2. Step 2: Convert to fraction form
    78,417.96/117,631.44 = 22,253.68/x
  3. Step 3: Cross multiply
    78,417.96x = 117,631.44 × 22,253.68
  4. Step 4: Simplify right side
    78,417.96x = 2,617,732,423.70
  5. Step 5: Solve for x
    x = 2,617,732,423.70/78,417.96
  6. Step 6: Final answer
    x = 33,381.80

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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.