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Finding the Fourth Proportional to 172,565, 258,847.18 and 98,641.16

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Solution

The fourth proportional to 172,565, 258,847.18 and 98,641.16 is: 147,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,565 : 258,847.18 = 98,641.16 : x
  2. Step 2: Convert to fraction form
    172,565/258,847.18 = 98,641.16/x
  3. Step 3: Cross multiply
    172,565x = 258,847.18 × 98,641.16
  4. Step 4: Simplify right side
    172,565x = 25,532,986,097.93
  5. Step 5: Solve for x
    x = 25,532,986,097.93/172,565
  6. Step 6: Final answer
    x = 147,961.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.