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Finding the Fourth Proportional to 265,981.62, 367,041.72 and 145,115.70

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Solution

The fourth proportional to 265,981.62, 367,041.72 and 145,115.70 is: 200,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,981.62 : 367,041.72 = 145,115.70 : x
  2. Step 2: Convert to fraction form
    265,981.62/367,041.72 = 145,115.70/x
  3. Step 3: Cross multiply
    265,981.62x = 367,041.72 × 145,115.70
  4. Step 4: Simplify right side
    265,981.62x = 53,263,516,127.00
  5. Step 5: Solve for x
    x = 53,263,516,127.00/265,981.62
  6. Step 6: Final answer
    x = 200,252.62

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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.