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Finding the Fourth Proportional to 99,705, 137,602.62 and 54,993

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Solution

The fourth proportional to 99,705, 137,602.62 and 54,993 is: 75,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,705 : 137,602.62 = 54,993 : x
  2. Step 2: Convert to fraction form
    99,705/137,602.62 = 54,993/x
  3. Step 3: Cross multiply
    99,705x = 137,602.62 × 54,993
  4. Step 4: Simplify right side
    99,705x = 7,567,180,881.66
  5. Step 5: Solve for x
    x = 7,567,180,881.66/99,705
  6. Step 6: Final answer
    x = 75,895.70

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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.