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Finding the Fourth Proportional to 78,294.24, 117,441.36 and 64,414.08

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Solution

The fourth proportional to 78,294.24, 117,441.36 and 64,414.08 is: 96,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,294.24 : 117,441.36 = 64,414.08 : x
  2. Step 2: Convert to fraction form
    78,294.24/117,441.36 = 64,414.08/x
  3. Step 3: Cross multiply
    78,294.24x = 117,441.36 × 64,414.08
  4. Step 4: Simplify right side
    78,294.24x = 7,564,877,158.35
  5. Step 5: Solve for x
    x = 7,564,877,158.35/78,294.24
  6. Step 6: Final answer
    x = 96,621.12

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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.