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Finding the Fourth Proportional to 84,649.65, 126,884.95 and 31,307.34

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Solution

The fourth proportional to 84,649.65, 126,884.95 and 31,307.34 is: 46,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,649.65 : 126,884.95 = 31,307.34 : x
  2. Step 2: Convert to fraction form
    84,649.65/126,884.95 = 31,307.34/x
  3. Step 3: Cross multiply
    84,649.65x = 126,884.95 × 31,307.34
  4. Step 4: Simplify right side
    84,649.65x = 3,972,430,668.08
  5. Step 5: Solve for x
    x = 3,972,430,668.08/84,649.65
  6. Step 6: Final answer
    x = 46,927.91

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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.