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Finding the Fourth Proportional to 239,589.72, 359,434.16 and 97,435

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Solution

The fourth proportional to 239,589.72, 359,434.16 and 97,435 is: 146,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,589.72 : 359,434.16 = 97,435 : x
  2. Step 2: Convert to fraction form
    239,589.72/359,434.16 = 97,435/x
  3. Step 3: Cross multiply
    239,589.72x = 359,434.16 × 97,435
  4. Step 4: Simplify right side
    239,589.72x = 35,021,467,379.60
  5. Step 5: Solve for x
    x = 35,021,467,379.60/239,589.72
  6. Step 6: Final answer
    x = 146,172.66

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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.