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Finding the Fourth Proportional to 114,402.36, 157,781.65 and 80,523

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Solution

The fourth proportional to 114,402.36, 157,781.65 and 80,523 is: 111,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,402.36 : 157,781.65 = 80,523 : x
  2. Step 2: Convert to fraction form
    114,402.36/157,781.65 = 80,523/x
  3. Step 3: Cross multiply
    114,402.36x = 157,781.65 × 80,523
  4. Step 4: Simplify right side
    114,402.36x = 12,705,051,802.95
  5. Step 5: Solve for x
    x = 12,705,051,802.95/114,402.36
  6. Step 6: Final answer
    x = 111,055.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.