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Finding the Fourth Proportional to 138,693.52, 191,395.19 and 77,440.66

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Solution

The fourth proportional to 138,693.52, 191,395.19 and 77,440.66 is: 106,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,693.52 : 191,395.19 = 77,440.66 : x
  2. Step 2: Convert to fraction form
    138,693.52/191,395.19 = 77,440.66/x
  3. Step 3: Cross multiply
    138,693.52x = 191,395.19 × 77,440.66
  4. Step 4: Simplify right side
    138,693.52x = 14,821,769,259.14
  5. Step 5: Solve for x
    x = 14,821,769,259.14/138,693.52
  6. Step 6: Final answer
    x = 106,867.07

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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.