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Finding the Fourth Proportional to 82,109.40, 123,212.70 and 59,866.80

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Solution

The fourth proportional to 82,109.40, 123,212.70 and 59,866.80 is: 89,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,109.40 : 123,212.70 = 59,866.80 : x
  2. Step 2: Convert to fraction form
    82,109.40/123,212.70 = 59,866.80/x
  3. Step 3: Cross multiply
    82,109.40x = 123,212.70 × 59,866.80
  4. Step 4: Simplify right side
    82,109.40x = 7,376,350,068.36
  5. Step 5: Solve for x
    x = 7,376,350,068.36/82,109.40
  6. Step 6: Final answer
    x = 89,835.63

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1.5x scale

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.