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Finding the Fourth Proportional to 135,063, 186,386.94 and 75,447

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Solution

The fourth proportional to 135,063, 186,386.94 and 75,447 is: 104,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,063 : 186,386.94 = 75,447 : x
  2. Step 2: Convert to fraction form
    135,063/186,386.94 = 75,447/x
  3. Step 3: Cross multiply
    135,063x = 186,386.94 × 75,447
  4. Step 4: Simplify right side
    135,063x = 14,062,335,462.18
  5. Step 5: Solve for x
    x = 14,062,335,462.18/135,063
  6. Step 6: Final answer
    x = 104,116.86

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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.