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Finding the Fourth Proportional to 185,802.66, 278,709.24 and 45,561.12

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Solution

The fourth proportional to 185,802.66, 278,709.24 and 45,561.12 is: 68,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,802.66 : 278,709.24 = 45,561.12 : x
  2. Step 2: Convert to fraction form
    185,802.66/278,709.24 = 45,561.12/x
  3. Step 3: Cross multiply
    185,802.66x = 278,709.24 × 45,561.12
  4. Step 4: Simplify right side
    185,802.66x = 12,698,305,128.75
  5. Step 5: Solve for x
    x = 12,698,305,128.75/185,802.66
  6. Step 6: Final answer
    x = 68,342.97

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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.