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Finding the Fourth Proportional to 103,400.42, 155,122.71 and 35,934.59

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Solution

The fourth proportional to 103,400.42, 155,122.71 and 35,934.59 is: 53,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,400.42 : 155,122.71 = 35,934.59 : x
  2. Step 2: Convert to fraction form
    103,400.42/155,122.71 = 35,934.59/x
  3. Step 3: Cross multiply
    103,400.42x = 155,122.71 × 35,934.59
  4. Step 4: Simplify right side
    103,400.42x = 5,574,270,207.93
  5. Step 5: Solve for x
    x = 5,574,270,207.93/103,400.42
  6. Step 6: Final answer
    x = 53,909.55

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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.