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Finding the Fourth Proportional to 78,498.24, 117,750.56 and 36,916.16

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Solution

The fourth proportional to 78,498.24, 117,750.56 and 36,916.16 is: 55,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,498.24 : 117,750.56 = 36,916.16 : x
  2. Step 2: Convert to fraction form
    78,498.24/117,750.56 = 36,916.16/x
  3. Step 3: Cross multiply
    78,498.24x = 117,750.56 × 36,916.16
  4. Step 4: Simplify right side
    78,498.24x = 4,346,898,513.05
  5. Step 5: Solve for x
    x = 4,346,898,513.05/78,498.24
  6. Step 6: Final answer
    x = 55,375.74

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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.