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Finding the Fourth Proportional to 258,066.96, 386,947.12 and 98,154.60

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Solution

The fourth proportional to 258,066.96, 386,947.12 and 98,154.60 is: 147,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,066.96 : 386,947.12 = 98,154.60 : x
  2. Step 2: Convert to fraction form
    258,066.96/386,947.12 = 98,154.60/x
  3. Step 3: Cross multiply
    258,066.96x = 386,947.12 × 98,154.60
  4. Step 4: Simplify right side
    258,066.96x = 37,980,639,784.75
  5. Step 5: Solve for x
    x = 37,980,639,784.75/258,066.96
  6. Step 6: Final answer
    x = 147,173.59

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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.