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Finding the Fourth Proportional to 98,310.89, 147,498.55 and 31,751.53

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Solution

The fourth proportional to 98,310.89, 147,498.55 and 31,751.53 is: 47,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,310.89 : 147,498.55 = 31,751.53 : x
  2. Step 2: Convert to fraction form
    98,310.89/147,498.55 = 31,751.53/x
  3. Step 3: Cross multiply
    98,310.89x = 147,498.55 × 31,751.53
  4. Step 4: Simplify right side
    98,310.89x = 4,683,304,187.16
  5. Step 5: Solve for x
    x = 4,683,304,187.16/98,310.89
  6. Step 6: Final answer
    x = 47,637.69

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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.