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Finding the Fourth Proportional to 186,749.66, 280,139.92 and 78,710.22

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Solution

The fourth proportional to 186,749.66, 280,139.92 and 78,710.22 is: 118,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,749.66 : 280,139.92 = 78,710.22 : x
  2. Step 2: Convert to fraction form
    186,749.66/280,139.92 = 78,710.22/x
  3. Step 3: Cross multiply
    186,749.66x = 280,139.92 × 78,710.22
  4. Step 4: Simplify right side
    186,749.66x = 22,049,874,537.21
  5. Step 5: Solve for x
    x = 22,049,874,537.21/186,749.66
  6. Step 6: Final answer
    x = 118,071.83

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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.