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Finding the Fourth Proportional to 75,413, 104,079.12 and 43,582.16

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Solution

The fourth proportional to 75,413, 104,079.12 and 43,582.16 is: 60,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413 : 104,079.12 = 43,582.16 : x
  2. Step 2: Convert to fraction form
    75,413/104,079.12 = 43,582.16/x
  3. Step 3: Cross multiply
    75,413x = 104,079.12 × 43,582.16
  4. Step 4: Simplify right side
    75,413x = 4,535,992,860.50
  5. Step 5: Solve for x
    x = 4,535,992,860.50/75,413
  6. Step 6: Final answer
    x = 60,148.69

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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.