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Finding the Fourth Proportional to 77,226.57, 115,659.95 and 75,098.16

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Solution

The fourth proportional to 77,226.57, 115,659.95 and 75,098.16 is: 112,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,226.57 : 115,659.95 = 75,098.16 : x
  2. Step 2: Convert to fraction form
    77,226.57/115,659.95 = 75,098.16/x
  3. Step 3: Cross multiply
    77,226.57x = 115,659.95 × 75,098.16
  4. Step 4: Simplify right side
    77,226.57x = 8,685,849,802.92
  5. Step 5: Solve for x
    x = 8,685,849,802.92/77,226.57
  6. Step 6: Final answer
    x = 112,472.29

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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.