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Finding the Fourth Proportional to 76,511.95, 105,578.25 and 42,512.75

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Solution

The fourth proportional to 76,511.95, 105,578.25 and 42,512.75 is: 58,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,511.95 : 105,578.25 = 42,512.75 : x
  2. Step 2: Convert to fraction form
    76,511.95/105,578.25 = 42,512.75/x
  3. Step 3: Cross multiply
    76,511.95x = 105,578.25 × 42,512.75
  4. Step 4: Simplify right side
    76,511.95x = 4,488,421,747.69
  5. Step 5: Solve for x
    x = 4,488,421,747.69/76,511.95
  6. Step 6: Final answer
    x = 58,663.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.