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Finding the Fourth Proportional to 155,478.26, 214,521.94 and 87,482

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Solution

The fourth proportional to 155,478.26, 214,521.94 and 87,482 is: 120,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,478.26 : 214,521.94 = 87,482 : x
  2. Step 2: Convert to fraction form
    155,478.26/214,521.94 = 87,482/x
  3. Step 3: Cross multiply
    155,478.26x = 214,521.94 × 87,482
  4. Step 4: Simplify right side
    155,478.26x = 18,766,808,355.08
  5. Step 5: Solve for x
    x = 18,766,808,355.08/155,478.26
  6. Step 6: Final answer
    x = 120,703.75

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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.