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Finding the Fourth Proportional to 154,711.76, 213,491.07 and 86,728.28

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Solution

The fourth proportional to 154,711.76, 213,491.07 and 86,728.28 is: 119,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,711.76 : 213,491.07 = 86,728.28 : x
  2. Step 2: Convert to fraction form
    154,711.76/213,491.07 = 86,728.28/x
  3. Step 3: Cross multiply
    154,711.76x = 213,491.07 × 86,728.28
  4. Step 4: Simplify right side
    154,711.76x = 18,515,712,229.00
  5. Step 5: Solve for x
    x = 18,515,712,229.00/154,711.76
  6. Step 6: Final answer
    x = 119,678.77

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1.5x scale

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.