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Finding the Fourth Proportional to 228,931.61, 343,446.56 and 77,143.69

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Solution

The fourth proportional to 228,931.61, 343,446.56 and 77,143.69 is: 115,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,931.61 : 343,446.56 = 77,143.69 : x
  2. Step 2: Convert to fraction form
    228,931.61/343,446.56 = 77,143.69/x
  3. Step 3: Cross multiply
    228,931.61x = 343,446.56 × 77,143.69
  4. Step 4: Simplify right side
    228,931.61x = 26,494,732,853.26
  5. Step 5: Solve for x
    x = 26,494,732,853.26/228,931.61
  6. Step 6: Final answer
    x = 115,732.09

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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.