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Finding the Fourth Proportional to 231,255.68, 346,898.64 and 71,312

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Solution

The fourth proportional to 231,255.68, 346,898.64 and 71,312 is: 106,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,255.68 : 346,898.64 = 71,312 : x
  2. Step 2: Convert to fraction form
    231,255.68/346,898.64 = 71,312/x
  3. Step 3: Cross multiply
    231,255.68x = 346,898.64 × 71,312
  4. Step 4: Simplify right side
    231,255.68x = 24,738,035,815.68
  5. Step 5: Solve for x
    x = 24,738,035,815.68/231,255.68
  6. Step 6: Final answer
    x = 106,972.66

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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.