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Finding the Fourth Proportional to 75,141, 112,750.38 and 38,205

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Solution

The fourth proportional to 75,141, 112,750.38 and 38,205 is: 57,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,141 : 112,750.38 = 38,205 : x
  2. Step 2: Convert to fraction form
    75,141/112,750.38 = 38,205/x
  3. Step 3: Cross multiply
    75,141x = 112,750.38 × 38,205
  4. Step 4: Simplify right side
    75,141x = 4,307,628,267.90
  5. Step 5: Solve for x
    x = 4,307,628,267.90/75,141
  6. Step 6: Final answer
    x = 57,327.27

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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.