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Finding the Fourth Proportional to 132,486, 182,831.64 and 72,870

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Solution

The fourth proportional to 132,486, 182,831.64 and 72,870 is: 100,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,486 : 182,831.64 = 72,870 : x
  2. Step 2: Convert to fraction form
    132,486/182,831.64 = 72,870/x
  3. Step 3: Cross multiply
    132,486x = 182,831.64 × 72,870
  4. Step 4: Simplify right side
    132,486x = 13,322,941,606.80
  5. Step 5: Solve for x
    x = 13,322,941,606.80/132,486
  6. Step 6: Final answer
    x = 100,561.13

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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.