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Finding the Fourth Proportional to 154,712.07, 213,502.65 and 87,644.07

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Solution

The fourth proportional to 154,712.07, 213,502.65 and 87,644.07 is: 120,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,712.07 : 213,502.65 = 87,644.07 : x
  2. Step 2: Convert to fraction form
    154,712.07/213,502.65 = 87,644.07/x
  3. Step 3: Cross multiply
    154,712.07x = 213,502.65 × 87,644.07
  4. Step 4: Simplify right side
    154,712.07x = 18,712,241,201.79
  5. Step 5: Solve for x
    x = 18,712,241,201.79/154,712.07
  6. Step 6: Final answer
    x = 120,948.81

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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.