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Finding the Fourth Proportional to 286,072.48, 429,129.78 and 75,709

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Solution

The fourth proportional to 286,072.48, 429,129.78 and 75,709 is: 113,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,072.48 : 429,129.78 = 75,709 : x
  2. Step 2: Convert to fraction form
    286,072.48/429,129.78 = 75,709/x
  3. Step 3: Cross multiply
    286,072.48x = 429,129.78 × 75,709
  4. Step 4: Simplify right side
    286,072.48x = 32,488,986,514.02
  5. Step 5: Solve for x
    x = 32,488,986,514.02/286,072.48
  6. Step 6: Final answer
    x = 113,569.07

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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.