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Finding the Fourth Proportional to 155,281.89, 214,287.72 and 87,299.16

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Solution

The fourth proportional to 155,281.89, 214,287.72 and 87,299.16 is: 120,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,281.89 : 214,287.72 = 87,299.16 : x
  2. Step 2: Convert to fraction form
    155,281.89/214,287.72 = 87,299.16/x
  3. Step 3: Cross multiply
    155,281.89x = 214,287.72 × 87,299.16
  4. Step 4: Simplify right side
    155,281.89x = 18,707,137,954.32
  5. Step 5: Solve for x
    x = 18,707,137,954.32/155,281.89
  6. Step 6: Final answer
    x = 120,472.12

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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.