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Finding the Fourth Proportional to 98,403.50, 135,796.84 and 53,691.50

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Solution

The fourth proportional to 98,403.50, 135,796.84 and 53,691.50 is: 74,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,403.50 : 135,796.84 = 53,691.50 : x
  2. Step 2: Convert to fraction form
    98,403.50/135,796.84 = 53,691.50/x
  3. Step 3: Cross multiply
    98,403.50x = 135,796.84 × 53,691.50
  4. Step 4: Simplify right side
    98,403.50x = 7,291,136,034.86
  5. Step 5: Solve for x
    x = 7,291,136,034.86/98,403.50
  6. Step 6: Final answer
    x = 74,094.28

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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.