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Finding the Fourth Proportional to 47,254.92, 70,787.72 and 28,478.16

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Solution

The fourth proportional to 47,254.92, 70,787.72 and 28,478.16 is: 42,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,254.92 : 70,787.72 = 28,478.16 : x
  2. Step 2: Convert to fraction form
    47,254.92/70,787.72 = 28,478.16/x
  3. Step 3: Cross multiply
    47,254.92x = 70,787.72 × 28,478.16
  4. Step 4: Simplify right side
    47,254.92x = 2,015,903,888.30
  5. Step 5: Solve for x
    x = 2,015,903,888.30/47,254.92
  6. Step 6: Final answer
    x = 42,660.19

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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.