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Finding the Fourth Proportional to 185,673.74, 278,465.78 and 85,737.86

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Solution

The fourth proportional to 185,673.74, 278,465.78 and 85,737.86 is: 128,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,673.74 : 278,465.78 = 85,737.86 : x
  2. Step 2: Convert to fraction form
    185,673.74/278,465.78 = 85,737.86/x
  3. Step 3: Cross multiply
    185,673.74x = 278,465.78 × 85,737.86
  4. Step 4: Simplify right side
    185,673.74x = 23,875,059,926.69
  5. Step 5: Solve for x
    x = 23,875,059,926.69/185,673.74
  6. Step 6: Final answer
    x = 128,586.09

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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.