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Finding the Fourth Proportional to 123,683.76, 185,278.32 and 57,032.64

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Solution

The fourth proportional to 123,683.76, 185,278.32 and 57,032.64 is: 85,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,683.76 : 185,278.32 = 57,032.64 : x
  2. Step 2: Convert to fraction form
    123,683.76/185,278.32 = 57,032.64/x
  3. Step 3: Cross multiply
    123,683.76x = 185,278.32 × 57,032.64
  4. Step 4: Simplify right side
    123,683.76x = 10,566,911,724.36
  5. Step 5: Solve for x
    x = 10,566,911,724.36/123,683.76
  6. Step 6: Final answer
    x = 85,434.92

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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.