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Finding the Fourth Proportional to 82,261.60, 123,392.40 and 77,984.80

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Solution

The fourth proportional to 82,261.60, 123,392.40 and 77,984.80 is: 116,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,261.60 : 123,392.40 = 77,984.80 : x
  2. Step 2: Convert to fraction form
    82,261.60/123,392.40 = 77,984.80/x
  3. Step 3: Cross multiply
    82,261.60x = 123,392.40 × 77,984.80
  4. Step 4: Simplify right side
    82,261.60x = 9,622,731,635.52
  5. Step 5: Solve for x
    x = 9,622,731,635.52/82,261.60
  6. Step 6: Final answer
    x = 116,977.20

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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.