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Finding the Fourth Proportional to 54,671.60, 82,007.40 and 36,009.20

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Solution

The fourth proportional to 54,671.60, 82,007.40 and 36,009.20 is: 54,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671.60 : 82,007.40 = 36,009.20 : x
  2. Step 2: Convert to fraction form
    54,671.60/82,007.40 = 36,009.20/x
  3. Step 3: Cross multiply
    54,671.60x = 82,007.40 × 36,009.20
  4. Step 4: Simplify right side
    54,671.60x = 2,953,020,868.08
  5. Step 5: Solve for x
    x = 2,953,020,868.08/54,671.60
  6. Step 6: Final answer
    x = 54,013.80

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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.