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Finding the Fourth Proportional to 132,138.30, 197,802.45 and 72,792.30

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Solution

The fourth proportional to 132,138.30, 197,802.45 and 72,792.30 is: 108,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,138.30 : 197,802.45 = 72,792.30 : x
  2. Step 2: Convert to fraction form
    132,138.30/197,802.45 = 72,792.30/x
  3. Step 3: Cross multiply
    132,138.30x = 197,802.45 × 72,792.30
  4. Step 4: Simplify right side
    132,138.30x = 14,398,495,281.14
  5. Step 5: Solve for x
    x = 14,398,495,281.14/132,138.30
  6. Step 6: Final answer
    x = 108,965.34

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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.