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Finding the Fourth Proportional to 104,862, 157,318.92 and 30,990

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Solution

The fourth proportional to 104,862, 157,318.92 and 30,990 is: 46,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,862 : 157,318.92 = 30,990 : x
  2. Step 2: Convert to fraction form
    104,862/157,318.92 = 30,990/x
  3. Step 3: Cross multiply
    104,862x = 157,318.92 × 30,990
  4. Step 4: Simplify right side
    104,862x = 4,875,313,330.80
  5. Step 5: Solve for x
    x = 4,875,313,330.80/104,862
  6. Step 6: Final answer
    x = 46,492.66

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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.