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Finding the Fourth Proportional to 52,095.15, 71,890.74 and 28,220.40

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Solution

The fourth proportional to 52,095.15, 71,890.74 and 28,220.40 is: 38,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095.15 : 71,890.74 = 28,220.40 : x
  2. Step 2: Convert to fraction form
    52,095.15/71,890.74 = 28,220.40/x
  3. Step 3: Cross multiply
    52,095.15x = 71,890.74 × 28,220.40
  4. Step 4: Simplify right side
    52,095.15x = 2,028,785,439.10
  5. Step 5: Solve for x
    x = 2,028,785,439.10/52,095.15
  6. Step 6: Final answer
    x = 38,943.84

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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.