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Finding the Fourth Proportional to 137,197.26, 205,802.55 and 42,492.78

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Solution

The fourth proportional to 137,197.26, 205,802.55 and 42,492.78 is: 63,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,197.26 : 205,802.55 = 42,492.78 : x
  2. Step 2: Convert to fraction form
    137,197.26/205,802.55 = 42,492.78/x
  3. Step 3: Cross multiply
    137,197.26x = 205,802.55 × 42,492.78
  4. Step 4: Simplify right side
    137,197.26x = 8,745,122,480.59
  5. Step 5: Solve for x
    x = 8,745,122,480.59/137,197.26
  6. Step 6: Final answer
    x = 63,741.23

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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.