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Finding the Fourth Proportional to 76,510.95, 105,576.87 and 42,511.75

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Solution

The fourth proportional to 76,510.95, 105,576.87 and 42,511.75 is: 58,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,510.95 : 105,576.87 = 42,511.75 : x
  2. Step 2: Convert to fraction form
    76,510.95/105,576.87 = 42,511.75/x
  3. Step 3: Cross multiply
    76,510.95x = 105,576.87 × 42,511.75
  4. Step 4: Simplify right side
    76,510.95x = 4,488,257,753.44
  5. Step 5: Solve for x
    x = 4,488,257,753.44/76,510.95
  6. Step 6: Final answer
    x = 58,661.64

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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.