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Finding the Fourth Proportional to 99,967.97, 137,946.31 and 54,643.07

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Solution

The fourth proportional to 99,967.97, 137,946.31 and 54,643.07 is: 75,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,967.97 : 137,946.31 = 54,643.07 : x
  2. Step 2: Convert to fraction form
    99,967.97/137,946.31 = 54,643.07/x
  3. Step 3: Cross multiply
    99,967.97x = 137,946.31 × 54,643.07
  4. Step 4: Simplify right side
    99,967.97x = 7,537,810,081.83
  5. Step 5: Solve for x
    x = 7,537,810,081.83/99,967.97
  6. Step 6: Final answer
    x = 75,402.25

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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.