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Finding the Fourth Proportional to 138,814.52, 191,565 and 75,152.48

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Solution

The fourth proportional to 138,814.52, 191,565 and 75,152.48 is: 103,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,814.52 : 191,565 = 75,152.48 : x
  2. Step 2: Convert to fraction form
    138,814.52/191,565 = 75,152.48/x
  3. Step 3: Cross multiply
    138,814.52x = 191,565 × 75,152.48
  4. Step 4: Simplify right side
    138,814.52x = 14,396,584,831.20
  5. Step 5: Solve for x
    x = 14,396,584,831.20/138,814.52
  6. Step 6: Final answer
    x = 103,710.94

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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.