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Finding the Fourth Proportional to 210,640.41, 315,929.45 and 77,489.52

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Solution

The fourth proportional to 210,640.41, 315,929.45 and 77,489.52 is: 116,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,640.41 : 315,929.45 = 77,489.52 : x
  2. Step 2: Convert to fraction form
    210,640.41/315,929.45 = 77,489.52/x
  3. Step 3: Cross multiply
    210,640.41x = 315,929.45 × 77,489.52
  4. Step 4: Simplify right side
    210,640.41x = 24,481,221,434.36
  5. Step 5: Solve for x
    x = 24,481,221,434.36/210,640.41
  6. Step 6: Final answer
    x = 116,222.82

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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.