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Finding the Fourth Proportional to 98,394, 147,605.40 and 31,812

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Solution

The fourth proportional to 98,394, 147,605.40 and 31,812 is: 47,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,394 : 147,605.40 = 31,812 : x
  2. Step 2: Convert to fraction form
    98,394/147,605.40 = 31,812/x
  3. Step 3: Cross multiply
    98,394x = 147,605.40 × 31,812
  4. Step 4: Simplify right side
    98,394x = 4,695,622,984.80
  5. Step 5: Solve for x
    x = 4,695,622,984.80/98,394
  6. Step 6: Final answer
    x = 47,722.66

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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.