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Finding the Fourth Proportional to 54,904.80, 82,357.20 and 54,321.60

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Solution

The fourth proportional to 54,904.80, 82,357.20 and 54,321.60 is: 81,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,904.80 : 82,357.20 = 54,321.60 : x
  2. Step 2: Convert to fraction form
    54,904.80/82,357.20 = 54,321.60/x
  3. Step 3: Cross multiply
    54,904.80x = 82,357.20 × 54,321.60
  4. Step 4: Simplify right side
    54,904.80x = 4,473,774,875.52
  5. Step 5: Solve for x
    x = 4,473,774,875.52/54,904.80
  6. Step 6: Final answer
    x = 81,482.40

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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.