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Finding the Fourth Proportional to 47,065, 70,604.08 and 13,787.48

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Solution

The fourth proportional to 47,065, 70,604.08 and 13,787.48 is: 20,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065 : 70,604.08 = 13,787.48 : x
  2. Step 2: Convert to fraction form
    47,065/70,604.08 = 13,787.48/x
  3. Step 3: Cross multiply
    47,065x = 70,604.08 × 13,787.48
  4. Step 4: Simplify right side
    47,065x = 973,452,340.92
  5. Step 5: Solve for x
    x = 973,452,340.92/47,065
  6. Step 6: Final answer
    x = 20,683.15

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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.