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Finding the Fourth Proportional to 210,759.57, 316,264.10 and 77,733.27

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Solution

The fourth proportional to 210,759.57, 316,264.10 and 77,733.27 is: 116,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,759.57 : 316,264.10 = 77,733.27 : x
  2. Step 2: Convert to fraction form
    210,759.57/316,264.10 = 77,733.27/x
  3. Step 3: Cross multiply
    210,759.57x = 316,264.10 × 77,733.27
  4. Step 4: Simplify right side
    210,759.57x = 24,584,242,287.94
  5. Step 5: Solve for x
    x = 24,584,242,287.94/210,759.57
  6. Step 6: Final answer
    x = 116,645.91

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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.