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Finding the Fourth Proportional to 143,590.92, 198,159.87 and 78,184.08

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Solution

The fourth proportional to 143,590.92, 198,159.87 and 78,184.08 is: 107,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,590.92 : 198,159.87 = 78,184.08 : x
  2. Step 2: Convert to fraction form
    143,590.92/198,159.87 = 78,184.08/x
  3. Step 3: Cross multiply
    143,590.92x = 198,159.87 × 78,184.08
  4. Step 4: Simplify right side
    143,590.92x = 15,492,947,128.87
  5. Step 5: Solve for x
    x = 15,492,947,128.87/143,590.92
  6. Step 6: Final answer
    x = 107,896.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.