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Finding the Fourth Proportional to 99,812.17, 137,742.87 and 54,492.06

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Solution

The fourth proportional to 99,812.17, 137,742.87 and 54,492.06 is: 75,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,812.17 : 137,742.87 = 54,492.06 : x
  2. Step 2: Convert to fraction form
    99,812.17/137,742.87 = 54,492.06/x
  3. Step 3: Cross multiply
    99,812.17x = 137,742.87 × 54,492.06
  4. Step 4: Simplify right side
    99,812.17x = 7,505,892,682.69
  5. Step 5: Solve for x
    x = 7,505,892,682.69/99,812.17
  6. Step 6: Final answer
    x = 75,200.18

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Why These Related Problems?

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