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Finding the Fourth Proportional to 185,419.92, 255,877.02 and 100,535.16

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Solution

The fourth proportional to 185,419.92, 255,877.02 and 100,535.16 is: 138,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,419.92 : 255,877.02 = 100,535.16 : x
  2. Step 2: Convert to fraction form
    185,419.92/255,877.02 = 100,535.16/x
  3. Step 3: Cross multiply
    185,419.92x = 255,877.02 × 100,535.16
  4. Step 4: Simplify right side
    185,419.92x = 25,724,637,146.02
  5. Step 5: Solve for x
    x = 25,724,637,146.02/185,419.92
  6. Step 6: Final answer
    x = 138,737.18

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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.