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Finding the Fourth Proportional to 75,873.84, 104,716.44 and 42,342

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Solution

The fourth proportional to 75,873.84, 104,716.44 and 42,342 is: 58,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,873.84 : 104,716.44 = 42,342 : x
  2. Step 2: Convert to fraction form
    75,873.84/104,716.44 = 42,342/x
  3. Step 3: Cross multiply
    75,873.84x = 104,716.44 × 42,342
  4. Step 4: Simplify right side
    75,873.84x = 4,433,903,502.48
  5. Step 5: Solve for x
    x = 4,433,903,502.48/75,873.84
  6. Step 6: Final answer
    x = 58,437.84

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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.