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Finding the Fourth Proportional to 119,781, 179,670.78 and 31,034.28

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Solution

The fourth proportional to 119,781, 179,670.78 and 31,034.28 is: 46,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,781 : 179,670.78 = 31,034.28 : x
  2. Step 2: Convert to fraction form
    119,781/179,670.78 = 31,034.28/x
  3. Step 3: Cross multiply
    119,781x = 179,670.78 × 31,034.28
  4. Step 4: Simplify right side
    119,781x = 5,575,953,294.34
  5. Step 5: Solve for x
    x = 5,575,953,294.34/119,781
  6. Step 6: Final answer
    x = 46,551.23

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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.