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Finding the Fourth Proportional to 91,907.20, 137,941.80 and 54,420.40

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Solution

The fourth proportional to 91,907.20, 137,941.80 and 54,420.40 is: 81,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,907.20 : 137,941.80 = 54,420.40 : x
  2. Step 2: Convert to fraction form
    91,907.20/137,941.80 = 54,420.40/x
  3. Step 3: Cross multiply
    91,907.20x = 137,941.80 × 54,420.40
  4. Step 4: Simplify right side
    91,907.20x = 7,506,847,932.72
  5. Step 5: Solve for x
    x = 7,506,847,932.72/91,907.20
  6. Step 6: Final answer
    x = 81,678.56

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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.