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Finding the Fourth Proportional to 185,342.65, 278,025.75 and 65,384.75

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Solution

The fourth proportional to 185,342.65, 278,025.75 and 65,384.75 is: 98,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,342.65 : 278,025.75 = 65,384.75 : x
  2. Step 2: Convert to fraction form
    185,342.65/278,025.75 = 65,384.75/x
  3. Step 3: Cross multiply
    185,342.65x = 278,025.75 × 65,384.75
  4. Step 4: Simplify right side
    185,342.65x = 18,178,644,852.38
  5. Step 5: Solve for x
    x = 18,178,644,852.38/185,342.65
  6. Step 6: Final answer
    x = 98,081.28

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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.