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Finding the Fourth Proportional to 138,152.58, 190,642.74 and 77,725.77

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Solution

The fourth proportional to 138,152.58, 190,642.74 and 77,725.77 is: 107,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,152.58 : 190,642.74 = 77,725.77 : x
  2. Step 2: Convert to fraction form
    138,152.58/190,642.74 = 77,725.77/x
  3. Step 3: Cross multiply
    138,152.58x = 190,642.74 × 77,725.77
  4. Step 4: Simplify right side
    138,152.58x = 14,817,853,761.41
  5. Step 5: Solve for x
    x = 14,817,853,761.41/138,152.58
  6. Step 6: Final answer
    x = 107,257.16

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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.