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Finding the Fourth Proportional to 82,707.60, 124,061.40 and 47,715.60

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Solution

The fourth proportional to 82,707.60, 124,061.40 and 47,715.60 is: 71,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,707.60 : 124,061.40 = 47,715.60 : x
  2. Step 2: Convert to fraction form
    82,707.60/124,061.40 = 47,715.60/x
  3. Step 3: Cross multiply
    82,707.60x = 124,061.40 × 47,715.60
  4. Step 4: Simplify right side
    82,707.60x = 5,919,664,137.84
  5. Step 5: Solve for x
    x = 5,919,664,137.84/82,707.60
  6. Step 6: Final answer
    x = 71,573.40

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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.