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Finding the Fourth Proportional to 286,073.48, 429,131.28 and 75,710

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Solution

The fourth proportional to 286,073.48, 429,131.28 and 75,710 is: 113,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,073.48 : 429,131.28 = 75,710 : x
  2. Step 2: Convert to fraction form
    286,073.48/429,131.28 = 75,710/x
  3. Step 3: Cross multiply
    286,073.48x = 429,131.28 × 75,710
  4. Step 4: Simplify right side
    286,073.48x = 32,489,529,208.80
  5. Step 5: Solve for x
    x = 32,489,529,208.80/286,073.48
  6. Step 6: Final answer
    x = 113,570.57

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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.