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Finding the Fourth Proportional to 231,424.74, 319,237.62 and 134,617.69

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Solution

The fourth proportional to 231,424.74, 319,237.62 and 134,617.69 is: 185,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,424.74 : 319,237.62 = 134,617.69 : x
  2. Step 2: Convert to fraction form
    231,424.74/319,237.62 = 134,617.69/x
  3. Step 3: Cross multiply
    231,424.74x = 319,237.62 × 134,617.69
  4. Step 4: Simplify right side
    231,424.74x = 42,975,030,965.50
  5. Step 5: Solve for x
    x = 42,975,030,965.50/231,424.74
  6. Step 6: Final answer
    x = 185,697.65

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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.