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Finding the Fourth Proportional to 157,290.42, 235,972.89 and 68,559.78

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Solution

The fourth proportional to 157,290.42, 235,972.89 and 68,559.78 is: 102,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,290.42 : 235,972.89 = 68,559.78 : x
  2. Step 2: Convert to fraction form
    157,290.42/235,972.89 = 68,559.78/x
  3. Step 3: Cross multiply
    157,290.42x = 235,972.89 × 68,559.78
  4. Step 4: Simplify right side
    157,290.42x = 16,178,249,424.36
  5. Step 5: Solve for x
    x = 16,178,249,424.36/157,290.42
  6. Step 6: Final answer
    x = 102,855.91

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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.