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Finding the Fourth Proportional to 98,490.16, 135,679.35 and 78,340.60

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Solution

The fourth proportional to 98,490.16, 135,679.35 and 78,340.60 is: 107,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,490.16 : 135,679.35 = 78,340.60 : x
  2. Step 2: Convert to fraction form
    98,490.16/135,679.35 = 78,340.60/x
  3. Step 3: Cross multiply
    98,490.16x = 135,679.35 × 78,340.60
  4. Step 4: Simplify right side
    98,490.16x = 10,629,201,686.61
  5. Step 5: Solve for x
    x = 10,629,201,686.61/98,490.16
  6. Step 6: Final answer
    x = 107,921.46

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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.