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Finding the Fourth Proportional to 98,657.64, 137,065.80 and 97,476.60

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Solution

The fourth proportional to 98,657.64, 137,065.80 and 97,476.60 is: 135,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,657.64 : 137,065.80 = 97,476.60 : x
  2. Step 2: Convert to fraction form
    98,657.64/137,065.80 = 97,476.60/x
  3. Step 3: Cross multiply
    98,657.64x = 137,065.80 × 97,476.60
  4. Step 4: Simplify right side
    98,657.64x = 13,360,708,160.28
  5. Step 5: Solve for x
    x = 13,360,708,160.28/98,657.64
  6. Step 6: Final answer
    x = 135,424.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.