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Finding the Fourth Proportional to 131,643.60, 197,494.20 and 65,115.60

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Solution

The fourth proportional to 131,643.60, 197,494.20 and 65,115.60 is: 97,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,643.60 : 197,494.20 = 65,115.60 : x
  2. Step 2: Convert to fraction form
    131,643.60/197,494.20 = 65,115.60/x
  3. Step 3: Cross multiply
    131,643.60x = 197,494.20 × 65,115.60
  4. Step 4: Simplify right side
    131,643.60x = 12,859,953,329.52
  5. Step 5: Solve for x
    x = 12,859,953,329.52/131,643.60
  6. Step 6: Final answer
    x = 97,687.65

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1.5x scale

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.