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Finding the Fourth Proportional to 107,238.54, 148,167.18 and 84,750

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Solution

The fourth proportional to 107,238.54, 148,167.18 and 84,750 is: 117,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,238.54 : 148,167.18 = 84,750 : x
  2. Step 2: Convert to fraction form
    107,238.54/148,167.18 = 84,750/x
  3. Step 3: Cross multiply
    107,238.54x = 148,167.18 × 84,750
  4. Step 4: Simplify right side
    107,238.54x = 12,557,168,505
  5. Step 5: Solve for x
    x = 12,557,168,505/107,238.54
  6. Step 6: Final answer
    x = 117,095.67

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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.