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Finding the Fourth Proportional to 98,197.96, 135,564.48 and 76,641.40

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Solution

The fourth proportional to 98,197.96, 135,564.48 and 76,641.40 is: 105,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,197.96 : 135,564.48 = 76,641.40 : x
  2. Step 2: Convert to fraction form
    98,197.96/135,564.48 = 76,641.40/x
  3. Step 3: Cross multiply
    98,197.96x = 135,564.48 × 76,641.40
  4. Step 4: Simplify right side
    98,197.96x = 10,389,851,537.47
  5. Step 5: Solve for x
    x = 10,389,851,537.47/98,197.96
  6. Step 6: Final answer
    x = 105,805.17

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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.