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Finding the Fourth Proportional to 75,023.84, 112,479.68 and 45,434.48

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Solution

The fourth proportional to 75,023.84, 112,479.68 and 45,434.48 is: 68,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,023.84 : 112,479.68 = 45,434.48 : x
  2. Step 2: Convert to fraction form
    75,023.84/112,479.68 = 45,434.48/x
  3. Step 3: Cross multiply
    75,023.84x = 112,479.68 × 45,434.48
  4. Step 4: Simplify right side
    75,023.84x = 5,110,455,771.37
  5. Step 5: Solve for x
    x = 5,110,455,771.37/75,023.84
  6. Step 6: Final answer
    x = 68,117.76

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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.