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Finding the Fourth Proportional to 286,372.92, 429,526.02 and 76,027.20

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Solution

The fourth proportional to 286,372.92, 429,526.02 and 76,027.20 is: 114,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,372.92 : 429,526.02 = 76,027.20 : x
  2. Step 2: Convert to fraction form
    286,372.92/429,526.02 = 76,027.20/x
  3. Step 3: Cross multiply
    286,372.92x = 429,526.02 × 76,027.20
  4. Step 4: Simplify right side
    286,372.92x = 32,655,660,627.74
  5. Step 5: Solve for x
    x = 32,655,660,627.74/286,372.92
  6. Step 6: Final answer
    x = 114,031.94

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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.