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Finding the Fourth Proportional to 98,319, 135,691.74 and 55,883.91

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Solution

The fourth proportional to 98,319, 135,691.74 and 55,883.91 is: 77,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,319 : 135,691.74 = 55,883.91 : x
  2. Step 2: Convert to fraction form
    98,319/135,691.74 = 55,883.91/x
  3. Step 3: Cross multiply
    98,319x = 135,691.74 × 55,883.91
  4. Step 4: Simplify right side
    98,319x = 7,582,984,985.90
  5. Step 5: Solve for x
    x = 7,582,984,985.90/98,319
  6. Step 6: Final answer
    x = 77,126.34

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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.