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Finding the Fourth Proportional to 117,882, 162,693.63 and 75,530.75

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Solution

The fourth proportional to 117,882, 162,693.63 and 75,530.75 is: 104,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,882 : 162,693.63 = 75,530.75 : x
  2. Step 2: Convert to fraction form
    117,882/162,693.63 = 75,530.75/x
  3. Step 3: Cross multiply
    117,882x = 162,693.63 × 75,530.75
  4. Step 4: Simplify right side
    117,882x = 12,288,371,080.65
  5. Step 5: Solve for x
    x = 12,288,371,080.65/117,882
  6. Step 6: Final answer
    x = 104,242.98

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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.