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Finding the Fourth Proportional to 99,483.84, 137,287.62 and 54,771.84

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Solution

The fourth proportional to 99,483.84, 137,287.62 and 54,771.84 is: 75,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,483.84 : 137,287.62 = 54,771.84 : x
  2. Step 2: Convert to fraction form
    99,483.84/137,287.62 = 54,771.84/x
  3. Step 3: Cross multiply
    99,483.84x = 137,287.62 × 54,771.84
  4. Step 4: Simplify right side
    99,483.84x = 7,519,495,556.62
  5. Step 5: Solve for x
    x = 7,519,495,556.62/99,483.84
  6. Step 6: Final answer
    x = 75,585.10

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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.