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Finding the Fourth Proportional to 82,444.57, 113,831.13 and 72,810.70

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Solution

The fourth proportional to 82,444.57, 113,831.13 and 72,810.70 is: 100,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,444.57 : 113,831.13 = 72,810.70 : x
  2. Step 2: Convert to fraction form
    82,444.57/113,831.13 = 72,810.70/x
  3. Step 3: Cross multiply
    82,444.57x = 113,831.13 × 72,810.70
  4. Step 4: Simplify right side
    82,444.57x = 8,288,124,257.09
  5. Step 5: Solve for x
    x = 8,288,124,257.09/82,444.57
  6. Step 6: Final answer
    x = 100,529.66

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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.