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Finding the Fourth Proportional to 100,377.98, 138,400.47 and 86,741.63

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Solution

The fourth proportional to 100,377.98, 138,400.47 and 86,741.63 is: 119,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,377.98 : 138,400.47 = 86,741.63 : x
  2. Step 2: Convert to fraction form
    100,377.98/138,400.47 = 86,741.63/x
  3. Step 3: Cross multiply
    100,377.98x = 138,400.47 × 86,741.63
  4. Step 4: Simplify right side
    100,377.98x = 12,005,081,668.56
  5. Step 5: Solve for x
    x = 12,005,081,668.56/100,377.98
  6. Step 6: Final answer
    x = 119,598.76

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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.