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Finding the Fourth Proportional to 154,931.50, 213,805.47 and 87,863.50

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Solution

The fourth proportional to 154,931.50, 213,805.47 and 87,863.50 is: 121,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,931.50 : 213,805.47 = 87,863.50 : x
  2. Step 2: Convert to fraction form
    154,931.50/213,805.47 = 87,863.50/x
  3. Step 3: Cross multiply
    154,931.50x = 213,805.47 × 87,863.50
  4. Step 4: Simplify right side
    154,931.50x = 18,785,696,913.35
  5. Step 5: Solve for x
    x = 18,785,696,913.35/154,931.50
  6. Step 6: Final answer
    x = 121,251.63

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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.