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Finding the Fourth Proportional to 99,884.39, 137,840.54 and 57,442.92

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Solution

The fourth proportional to 99,884.39, 137,840.54 and 57,442.92 is: 79,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,884.39 : 137,840.54 = 57,442.92 : x
  2. Step 2: Convert to fraction form
    99,884.39/137,840.54 = 57,442.92/x
  3. Step 3: Cross multiply
    99,884.39x = 137,840.54 × 57,442.92
  4. Step 4: Simplify right side
    99,884.39x = 7,917,963,083.21
  5. Step 5: Solve for x
    x = 7,917,963,083.21/99,884.39
  6. Step 6: Final answer
    x = 79,271.28

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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.