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Finding the Fourth Proportional to 84,123.04, 126,184 and 31,495.20

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Solution

The fourth proportional to 84,123.04, 126,184 and 31,495.20 is: 47,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,123.04 : 126,184 = 31,495.20 : x
  2. Step 2: Convert to fraction form
    84,123.04/126,184 = 31,495.20/x
  3. Step 3: Cross multiply
    84,123.04x = 126,184 × 31,495.20
  4. Step 4: Simplify right side
    84,123.04x = 3,974,190,316.80
  5. Step 5: Solve for x
    x = 3,974,190,316.80/84,123.04
  6. Step 6: Final answer
    x = 47,242.59

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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.