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Finding the Fourth Proportional to 231,756.81, 319,711.50 and 145,822.29

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Solution

The fourth proportional to 231,756.81, 319,711.50 and 145,822.29 is: 201,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,756.81 : 319,711.50 = 145,822.29 : x
  2. Step 2: Convert to fraction form
    231,756.81/319,711.50 = 145,822.29/x
  3. Step 3: Cross multiply
    231,756.81x = 319,711.50 × 145,822.29
  4. Step 4: Simplify right side
    231,756.81x = 46,621,063,069.34
  5. Step 5: Solve for x
    x = 46,621,063,069.34/231,756.81
  6. Step 6: Final answer
    x = 201,163.72

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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.