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Finding the Fourth Proportional to 149,355.95, 206,111.12 and 82,287.95

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Solution

The fourth proportional to 149,355.95, 206,111.12 and 82,287.95 is: 113,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,355.95 : 206,111.12 = 82,287.95 : x
  2. Step 2: Convert to fraction form
    149,355.95/206,111.12 = 82,287.95/x
  3. Step 3: Cross multiply
    149,355.95x = 206,111.12 × 82,287.95
  4. Step 4: Simplify right side
    149,355.95x = 16,960,460,095.01
  5. Step 5: Solve for x
    x = 16,960,460,095.01/149,355.95
  6. Step 6: Final answer
    x = 113,557.32

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1.5x scale

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.