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Finding the Fourth Proportional to 157,067.82, 216,756.18 and 85,447.89

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Solution

The fourth proportional to 157,067.82, 216,756.18 and 85,447.89 is: 117,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,067.82 : 216,756.18 = 85,447.89 : x
  2. Step 2: Convert to fraction form
    157,067.82/216,756.18 = 85,447.89/x
  3. Step 3: Cross multiply
    157,067.82x = 216,756.18 × 85,447.89
  4. Step 4: Simplify right side
    157,067.82x = 18,521,358,225.46
  5. Step 5: Solve for x
    x = 18,521,358,225.46/157,067.82
  6. Step 6: Final answer
    x = 117,919.50

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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.