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Finding the Fourth Proportional to 99,486, 137,407.32 and 65,893.68

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Solution

The fourth proportional to 99,486, 137,407.32 and 65,893.68 is: 91,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,486 : 137,407.32 = 65,893.68 : x
  2. Step 2: Convert to fraction form
    99,486/137,407.32 = 65,893.68/x
  3. Step 3: Cross multiply
    99,486x = 137,407.32 × 65,893.68
  4. Step 4: Simplify right side
    99,486x = 9,054,273,973.74
  5. Step 5: Solve for x
    x = 9,054,273,973.74/99,486
  6. Step 6: Final answer
    x = 91,010.53

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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.