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Finding the Fourth Proportional to 76,198.52, 105,136.98 and 45,988.76

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Solution

The fourth proportional to 76,198.52, 105,136.98 and 45,988.76 is: 63,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,198.52 : 105,136.98 = 45,988.76 : x
  2. Step 2: Convert to fraction form
    76,198.52/105,136.98 = 45,988.76/x
  3. Step 3: Cross multiply
    76,198.52x = 105,136.98 × 45,988.76
  4. Step 4: Simplify right side
    76,198.52x = 4,835,119,340.34
  5. Step 5: Solve for x
    x = 4,835,119,340.34/76,198.52
  6. Step 6: Final answer
    x = 63,454.24

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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.