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Finding the Fourth Proportional to 99,383.16, 137,146.86 and 54,671.16

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Solution

The fourth proportional to 99,383.16, 137,146.86 and 54,671.16 is: 75,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,383.16 : 137,146.86 = 54,671.16 : x
  2. Step 2: Convert to fraction form
    99,383.16/137,146.86 = 54,671.16/x
  3. Step 3: Cross multiply
    99,383.16x = 137,146.86 × 54,671.16
  4. Step 4: Simplify right side
    99,383.16x = 7,497,977,926.56
  5. Step 5: Solve for x
    x = 7,497,977,926.56/99,383.16
  6. Step 6: Final answer
    x = 75,445.16

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1.5x scale

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.