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Finding the Fourth Proportional to 286,521.44, 429,781.61 and 76,159.37

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Solution

The fourth proportional to 286,521.44, 429,781.61 and 76,159.37 is: 114,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,521.44 : 429,781.61 = 76,159.37 : x
  2. Step 2: Convert to fraction form
    286,521.44/429,781.61 = 76,159.37/x
  3. Step 3: Cross multiply
    286,521.44x = 429,781.61 × 76,159.37
  4. Step 4: Simplify right side
    286,521.44x = 32,731,897,920.04
  5. Step 5: Solve for x
    x = 32,731,897,920.04/286,521.44
  6. Step 6: Final answer
    x = 114,238.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.