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Finding the Fourth Proportional to 82,816.60, 124,224.90 and 78,539.80

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Solution

The fourth proportional to 82,816.60, 124,224.90 and 78,539.80 is: 117,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,816.60 : 124,224.90 = 78,539.80 : x
  2. Step 2: Convert to fraction form
    82,816.60/124,224.90 = 78,539.80/x
  3. Step 3: Cross multiply
    82,816.60x = 124,224.90 × 78,539.80
  4. Step 4: Simplify right side
    82,816.60x = 9,756,598,801.02
  5. Step 5: Solve for x
    x = 9,756,598,801.02/82,816.60
  6. Step 6: Final answer
    x = 117,809.70

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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.