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Finding the Fourth Proportional to 115,776.57, 159,778.40 and 64,788.86

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Solution

The fourth proportional to 115,776.57, 159,778.40 and 64,788.86 is: 89,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,776.57 : 159,778.40 = 64,788.86 : x
  2. Step 2: Convert to fraction form
    115,776.57/159,778.40 = 64,788.86/x
  3. Step 3: Cross multiply
    115,776.57x = 159,778.40 × 64,788.86
  4. Step 4: Simplify right side
    115,776.57x = 10,351,859,265.79
  5. Step 5: Solve for x
    x = 10,351,859,265.79/115,776.57
  6. Step 6: Final answer
    x = 89,412.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.