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Finding the Fourth Proportional to 98,642, 136,126.44 and 53,930

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Solution

The fourth proportional to 98,642, 136,126.44 and 53,930 is: 74,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642 : 136,126.44 = 53,930 : x
  2. Step 2: Convert to fraction form
    98,642/136,126.44 = 53,930/x
  3. Step 3: Cross multiply
    98,642x = 136,126.44 × 53,930
  4. Step 4: Simplify right side
    98,642x = 7,341,298,909.20
  5. Step 5: Solve for x
    x = 7,341,298,909.20/98,642
  6. Step 6: Final answer
    x = 74,423.66

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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.