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Finding the Fourth Proportional to 247,612.80, 371,516.40 and 97,827.60

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Solution

The fourth proportional to 247,612.80, 371,516.40 and 97,827.60 is: 146,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,612.80 : 371,516.40 = 97,827.60 : x
  2. Step 2: Convert to fraction form
    247,612.80/371,516.40 = 97,827.60/x
  3. Step 3: Cross multiply
    247,612.80x = 371,516.40 × 97,827.60
  4. Step 4: Simplify right side
    247,612.80x = 36,344,557,772.64
  5. Step 5: Solve for x
    x = 36,344,557,772.64/247,612.80
  6. Step 6: Final answer
    x = 146,779.80

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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.