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Finding the Fourth Proportional to 137,412.95, 207,055.41 and 112,999.82

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Solution

The fourth proportional to 137,412.95, 207,055.41 and 112,999.82 is: 170,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412.95 : 207,055.41 = 112,999.82 : x
  2. Step 2: Convert to fraction form
    137,412.95/207,055.41 = 112,999.82/x
  3. Step 3: Cross multiply
    137,412.95x = 207,055.41 × 112,999.82
  4. Step 4: Simplify right side
    137,412.95x = 23,397,223,024.75
  5. Step 5: Solve for x
    x = 23,397,223,024.75/137,412.95
  6. Step 6: Final answer
    x = 170,269.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.