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Finding the Fourth Proportional to 92,142, 127,162.32 and 51,859.56

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Solution

The fourth proportional to 92,142, 127,162.32 and 51,859.56 is: 71,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142 : 127,162.32 = 51,859.56 : x
  2. Step 2: Convert to fraction form
    92,142/127,162.32 = 51,859.56/x
  3. Step 3: Cross multiply
    92,142x = 127,162.32 × 51,859.56
  4. Step 4: Simplify right side
    92,142x = 6,594,581,963.78
  5. Step 5: Solve for x
    x = 6,594,581,963.78/92,142
  6. Step 6: Final answer
    x = 71,569.77

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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.