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Finding the Fourth Proportional to 154,408, 213,088.80 and 87,338.56

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Solution

The fourth proportional to 154,408, 213,088.80 and 87,338.56 is: 120,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,408 : 213,088.80 = 87,338.56 : x
  2. Step 2: Convert to fraction form
    154,408/213,088.80 = 87,338.56/x
  3. Step 3: Cross multiply
    154,408x = 213,088.80 × 87,338.56
  4. Step 4: Simplify right side
    154,408x = 18,610,868,944.13
  5. Step 5: Solve for x
    x = 18,610,868,944.13/154,408
  6. Step 6: Final answer
    x = 120,530.47

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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.