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Finding the Fourth Proportional to 157,949.88, 236,962.26 and 47,139

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Solution

The fourth proportional to 157,949.88, 236,962.26 and 47,139 is: 70,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,949.88 : 236,962.26 = 47,139 : x
  2. Step 2: Convert to fraction form
    157,949.88/236,962.26 = 47,139/x
  3. Step 3: Cross multiply
    157,949.88x = 236,962.26 × 47,139
  4. Step 4: Simplify right side
    157,949.88x = 11,170,163,974.14
  5. Step 5: Solve for x
    x = 11,170,163,974.14/157,949.88
  6. Step 6: Final answer
    x = 70,719.67

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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.