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Finding the Fourth Proportional to 138,085.92, 190,565.46 and 77,675.58

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Solution

The fourth proportional to 138,085.92, 190,565.46 and 77,675.58 is: 107,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,085.92 : 190,565.46 = 77,675.58 : x
  2. Step 2: Convert to fraction form
    138,085.92/190,565.46 = 77,675.58/x
  3. Step 3: Cross multiply
    138,085.92x = 190,565.46 × 77,675.58
  4. Step 4: Simplify right side
    138,085.92x = 14,802,282,633.47
  5. Step 5: Solve for x
    x = 14,802,282,633.47/138,085.92
  6. Step 6: Final answer
    x = 107,196.18

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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.