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Finding the Fourth Proportional to 113,442.50, 170,051.02 and 54,209

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Solution

The fourth proportional to 113,442.50, 170,051.02 and 54,209 is: 81,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,442.50 : 170,051.02 = 54,209 : x
  2. Step 2: Convert to fraction form
    113,442.50/170,051.02 = 54,209/x
  3. Step 3: Cross multiply
    113,442.50x = 170,051.02 × 54,209
  4. Step 4: Simplify right side
    113,442.50x = 9,218,295,743.18
  5. Step 5: Solve for x
    x = 9,218,295,743.18/113,442.50
  6. Step 6: Final answer
    x = 81,259.63

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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.