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Finding the Fourth Proportional to 210,761.82, 316,267.20 and 77,734.98

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Solution

The fourth proportional to 210,761.82, 316,267.20 and 77,734.98 is: 116,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,761.82 : 316,267.20 = 77,734.98 : x
  2. Step 2: Convert to fraction form
    210,761.82/316,267.20 = 77,734.98/x
  3. Step 3: Cross multiply
    210,761.82x = 316,267.20 × 77,734.98
  4. Step 4: Simplify right side
    210,761.82x = 24,585,024,466.66
  5. Step 5: Solve for x
    x = 24,585,024,466.66/210,761.82
  6. Step 6: Final answer
    x = 116,648.38

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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.