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Finding the Fourth Proportional to 100,693, 138,962.10 and 55,983.88

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Solution

The fourth proportional to 100,693, 138,962.10 and 55,983.88 is: 77,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,693 : 138,962.10 = 55,983.88 : x
  2. Step 2: Convert to fraction form
    100,693/138,962.10 = 55,983.88/x
  3. Step 3: Cross multiply
    100,693x = 138,962.10 × 55,983.88
  4. Step 4: Simplify right side
    100,693x = 7,779,637,530.95
  5. Step 5: Solve for x
    x = 7,779,637,530.95/100,693
  6. Step 6: Final answer
    x = 77,260.96

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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.