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Finding the Fourth Proportional to 99,959.67, 137,943.41 and 56,348.26

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Solution

The fourth proportional to 99,959.67, 137,943.41 and 56,348.26 is: 77,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,959.67 : 137,943.41 = 56,348.26 : x
  2. Step 2: Convert to fraction form
    99,959.67/137,943.41 = 56,348.26/x
  3. Step 3: Cross multiply
    99,959.67x = 137,943.41 × 56,348.26
  4. Step 4: Simplify right side
    99,959.67x = 7,772,870,505.37
  5. Step 5: Solve for x
    x = 7,772,870,505.37/99,959.67
  6. Step 6: Final answer
    x = 77,760.07

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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.