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Finding the Fourth Proportional to 225,457.83, 338,225.63 and 75,712.53

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Solution

The fourth proportional to 225,457.83, 338,225.63 and 75,712.53 is: 113,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,457.83 : 338,225.63 = 75,712.53 : x
  2. Step 2: Convert to fraction form
    225,457.83/338,225.63 = 75,712.53/x
  3. Step 3: Cross multiply
    225,457.83x = 338,225.63 × 75,712.53
  4. Step 4: Simplify right side
    225,457.83x = 25,607,917,779.58
  5. Step 5: Solve for x
    x = 25,607,917,779.58/225,457.83
  6. Step 6: Final answer
    x = 113,581.85

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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.