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Finding the Fourth Proportional to 81,457.95, 122,206.05 and 25,295.16

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Solution

The fourth proportional to 81,457.95, 122,206.05 and 25,295.16 is: 37,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,457.95 : 122,206.05 = 25,295.16 : x
  2. Step 2: Convert to fraction form
    81,457.95/122,206.05 = 25,295.16/x
  3. Step 3: Cross multiply
    81,457.95x = 122,206.05 × 25,295.16
  4. Step 4: Simplify right side
    81,457.95x = 3,091,221,587.72
  5. Step 5: Solve for x
    x = 3,091,221,587.72/81,457.95
  6. Step 6: Final answer
    x = 37,948.68

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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.