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Finding the Fourth Proportional to 75,842.33, 113,781.81 and 28,457.81

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Solution

The fourth proportional to 75,842.33, 113,781.81 and 28,457.81 is: 42,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.33 : 113,781.81 = 28,457.81 : x
  2. Step 2: Convert to fraction form
    75,842.33/113,781.81 = 28,457.81/x
  3. Step 3: Cross multiply
    75,842.33x = 113,781.81 × 28,457.81
  4. Step 4: Simplify right side
    75,842.33x = 3,237,980,561.53
  5. Step 5: Solve for x
    x = 3,237,980,561.53/75,842.33
  6. Step 6: Final answer
    x = 42,693.58

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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.