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Finding the Fourth Proportional to 136,894.32, 205,341.48 and 89,549.22

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Solution

The fourth proportional to 136,894.32, 205,341.48 and 89,549.22 is: 134,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,894.32 : 205,341.48 = 89,549.22 : x
  2. Step 2: Convert to fraction form
    136,894.32/205,341.48 = 89,549.22/x
  3. Step 3: Cross multiply
    136,894.32x = 205,341.48 × 89,549.22
  4. Step 4: Simplify right side
    136,894.32x = 18,388,169,367.65
  5. Step 5: Solve for x
    x = 18,388,169,367.65/136,894.32
  6. Step 6: Final answer
    x = 134,323.83

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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.