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Finding the Fourth Proportional to 92,575.68, 138,870 and 45,816

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Solution

The fourth proportional to 92,575.68, 138,870 and 45,816 is: 68,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,575.68 : 138,870 = 45,816 : x
  2. Step 2: Convert to fraction form
    92,575.68/138,870 = 45,816/x
  3. Step 3: Cross multiply
    92,575.68x = 138,870 × 45,816
  4. Step 4: Simplify right side
    92,575.68x = 6,362,467,920
  5. Step 5: Solve for x
    x = 6,362,467,920/92,575.68
  6. Step 6: Final answer
    x = 68,727.21

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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.