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Finding the Fourth Proportional to 99,886, 137,842.68 and 57,443.62

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Solution

The fourth proportional to 99,886, 137,842.68 and 57,443.62 is: 79,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,886 : 137,842.68 = 57,443.62 : x
  2. Step 2: Convert to fraction form
    99,886/137,842.68 = 57,443.62/x
  3. Step 3: Cross multiply
    99,886x = 137,842.68 × 57,443.62
  4. Step 4: Simplify right side
    99,886x = 7,918,182,529.70
  5. Step 5: Solve for x
    x = 7,918,182,529.70/99,886
  6. Step 6: Final answer
    x = 79,272.20

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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.