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Finding the Fourth Proportional to 77,294.16, 115,785.12 and 64,778.88

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Solution

The fourth proportional to 77,294.16, 115,785.12 and 64,778.88 is: 97,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,294.16 : 115,785.12 = 64,778.88 : x
  2. Step 2: Convert to fraction form
    77,294.16/115,785.12 = 64,778.88/x
  3. Step 3: Cross multiply
    77,294.16x = 115,785.12 × 64,778.88
  4. Step 4: Simplify right side
    77,294.16x = 7,500,430,394.27
  5. Step 5: Solve for x
    x = 7,500,430,394.27/77,294.16
  6. Step 6: Final answer
    x = 97,037.48

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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.