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Finding the Fourth Proportional to 74,754, 103,160.61 and 41,220

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Solution

The fourth proportional to 74,754, 103,160.61 and 41,220 is: 56,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,754 : 103,160.61 = 41,220 : x
  2. Step 2: Convert to fraction form
    74,754/103,160.61 = 41,220/x
  3. Step 3: Cross multiply
    74,754x = 103,160.61 × 41,220
  4. Step 4: Simplify right side
    74,754x = 4,252,280,344.20
  5. Step 5: Solve for x
    x = 4,252,280,344.20/74,754
  6. Step 6: Final answer
    x = 56,883.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.