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Finding the Fourth Proportional to 83,109.19, 114,650.65 and 54,416.20

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Solution

The fourth proportional to 83,109.19, 114,650.65 and 54,416.20 is: 75,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,109.19 : 114,650.65 = 54,416.20 : x
  2. Step 2: Convert to fraction form
    83,109.19/114,650.65 = 54,416.20/x
  3. Step 3: Cross multiply
    83,109.19x = 114,650.65 × 54,416.20
  4. Step 4: Simplify right side
    83,109.19x = 6,238,852,700.53
  5. Step 5: Solve for x
    x = 6,238,852,700.53/83,109.19
  6. Step 6: Final answer
    x = 75,068.14

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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.