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Finding the Fourth Proportional to 99,778.64, 137,694.93 and 54,457.58

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Solution

The fourth proportional to 99,778.64, 137,694.93 and 54,457.58 is: 75,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778.64 : 137,694.93 = 54,457.58 : x
  2. Step 2: Convert to fraction form
    99,778.64/137,694.93 = 54,457.58/x
  3. Step 3: Cross multiply
    99,778.64x = 137,694.93 × 54,457.58
  4. Step 4: Simplify right side
    99,778.64x = 7,498,532,666.07
  5. Step 5: Solve for x
    x = 7,498,532,666.07/99,778.64
  6. Step 6: Final answer
    x = 75,151.68

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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.