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Finding the Fourth Proportional to 157,815.80, 236,522.10 and 64,215.80

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Solution

The fourth proportional to 157,815.80, 236,522.10 and 64,215.80 is: 96,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,815.80 : 236,522.10 = 64,215.80 : x
  2. Step 2: Convert to fraction form
    157,815.80/236,522.10 = 64,215.80/x
  3. Step 3: Cross multiply
    157,815.80x = 236,522.10 × 64,215.80
  4. Step 4: Simplify right side
    157,815.80x = 15,188,455,869.18
  5. Step 5: Solve for x
    x = 15,188,455,869.18/157,815.80
  6. Step 6: Final answer
    x = 96,241.67

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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.