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Finding the Fourth Proportional to 286,053.48, 429,101.28 and 75,690

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Solution

The fourth proportional to 286,053.48, 429,101.28 and 75,690 is: 113,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,053.48 : 429,101.28 = 75,690 : x
  2. Step 2: Convert to fraction form
    286,053.48/429,101.28 = 75,690/x
  3. Step 3: Cross multiply
    286,053.48x = 429,101.28 × 75,690
  4. Step 4: Simplify right side
    286,053.48x = 32,478,675,883.20
  5. Step 5: Solve for x
    x = 32,478,675,883.20/286,053.48
  6. Step 6: Final answer
    x = 113,540.57

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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.