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Finding the Fourth Proportional to 75,118.68, 112,681.67 and 61,947

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Solution

The fourth proportional to 75,118.68, 112,681.67 and 61,947 is: 92,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,118.68 : 112,681.67 = 61,947 : x
  2. Step 2: Convert to fraction form
    75,118.68/112,681.67 = 61,947/x
  3. Step 3: Cross multiply
    75,118.68x = 112,681.67 × 61,947
  4. Step 4: Simplify right side
    75,118.68x = 6,980,291,101.76
  5. Step 5: Solve for x
    x = 6,980,291,101.76/75,118.68
  6. Step 6: Final answer
    x = 92,923.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.