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Finding the Fourth Proportional to 98,978.18, 136,591.60 and 56,537.02

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Solution

The fourth proportional to 98,978.18, 136,591.60 and 56,537.02 is: 78,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,978.18 : 136,591.60 = 56,537.02 : x
  2. Step 2: Convert to fraction form
    98,978.18/136,591.60 = 56,537.02/x
  3. Step 3: Cross multiply
    98,978.18x = 136,591.60 × 56,537.02
  4. Step 4: Simplify right side
    98,978.18x = 7,722,481,338.07
  5. Step 5: Solve for x
    x = 7,722,481,338.07/98,978.18
  6. Step 6: Final answer
    x = 78,022.06

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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.