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Finding the Fourth Proportional to 100,971.80, 151,457.70 and 81,288.80

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Solution

The fourth proportional to 100,971.80, 151,457.70 and 81,288.80 is: 121,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.80 : 151,457.70 = 81,288.80 : x
  2. Step 2: Convert to fraction form
    100,971.80/151,457.70 = 81,288.80/x
  3. Step 3: Cross multiply
    100,971.80x = 151,457.70 × 81,288.80
  4. Step 4: Simplify right side
    100,971.80x = 12,311,814,683.76
  5. Step 5: Solve for x
    x = 12,311,814,683.76/100,971.80
  6. Step 6: Final answer
    x = 121,933.20

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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.