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Finding the Fourth Proportional to 75,926, 104,784.36 and 42,398.48

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Solution

The fourth proportional to 75,926, 104,784.36 and 42,398.48 is: 58,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,926 : 104,784.36 = 42,398.48 : x
  2. Step 2: Convert to fraction form
    75,926/104,784.36 = 42,398.48/x
  3. Step 3: Cross multiply
    75,926x = 104,784.36 × 42,398.48
  4. Step 4: Simplify right side
    75,926x = 4,442,697,591.77
  5. Step 5: Solve for x
    x = 4,442,697,591.77/75,926
  6. Step 6: Final answer
    x = 58,513.52

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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.