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Finding the Fourth Proportional to 252,108.91, 347,908.53 and 138,931.66

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Solution

The fourth proportional to 252,108.91, 347,908.53 and 138,931.66 is: 191,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,108.91 : 347,908.53 = 138,931.66 : x
  2. Step 2: Convert to fraction form
    252,108.91/347,908.53 = 138,931.66/x
  3. Step 3: Cross multiply
    252,108.91x = 347,908.53 × 138,931.66
  4. Step 4: Simplify right side
    252,108.91x = 48,335,509,601.06
  5. Step 5: Solve for x
    x = 48,335,509,601.06/252,108.91
  6. Step 6: Final answer
    x = 191,724.72

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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.