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Finding the Fourth Proportional to 103,640.64, 155,470.68 and 41,316

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Solution

The fourth proportional to 103,640.64, 155,470.68 and 41,316 is: 61,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640.64 : 155,470.68 = 41,316 : x
  2. Step 2: Convert to fraction form
    103,640.64/155,470.68 = 41,316/x
  3. Step 3: Cross multiply
    103,640.64x = 155,470.68 × 41,316
  4. Step 4: Simplify right side
    103,640.64x = 6,423,426,614.88
  5. Step 5: Solve for x
    x = 6,423,426,614.88/103,640.64
  6. Step 6: Final answer
    x = 61,977.87

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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.