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Finding the Fourth Proportional to 97,854.72, 146,891.52 and 91,430.88

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Solution

The fourth proportional to 97,854.72, 146,891.52 and 91,430.88 is: 137,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,854.72 : 146,891.52 = 91,430.88 : x
  2. Step 2: Convert to fraction form
    97,854.72/146,891.52 = 91,430.88/x
  3. Step 3: Cross multiply
    97,854.72x = 146,891.52 × 91,430.88
  4. Step 4: Simplify right side
    97,854.72x = 13,430,420,938.14
  5. Step 5: Solve for x
    x = 13,430,420,938.14/97,854.72
  6. Step 6: Final answer
    x = 137,248.58

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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.