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Finding the Fourth Proportional to 98,170.47, 135,459 and 57,878.82

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Solution

The fourth proportional to 98,170.47, 135,459 and 57,878.82 is: 79,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,170.47 : 135,459 = 57,878.82 : x
  2. Step 2: Convert to fraction form
    98,170.47/135,459 = 57,878.82/x
  3. Step 3: Cross multiply
    98,170.47x = 135,459 × 57,878.82
  4. Step 4: Simplify right side
    98,170.47x = 7,840,207,078.38
  5. Step 5: Solve for x
    x = 7,840,207,078.38/98,170.47
  6. Step 6: Final answer
    x = 79,863.19

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1.5x scale

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.