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Finding the Fourth Proportional to 286,071.48, 429,128.28 and 75,708

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Solution

The fourth proportional to 286,071.48, 429,128.28 and 75,708 is: 113,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,071.48 : 429,128.28 = 75,708 : x
  2. Step 2: Convert to fraction form
    286,071.48/429,128.28 = 75,708/x
  3. Step 3: Cross multiply
    286,071.48x = 429,128.28 × 75,708
  4. Step 4: Simplify right side
    286,071.48x = 32,488,443,822.24
  5. Step 5: Solve for x
    x = 32,488,443,822.24/286,071.48
  6. Step 6: Final answer
    x = 113,567.57

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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.