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Finding the Fourth Proportional to 215,686.71, 297,649.82 and 118,894

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Solution

The fourth proportional to 215,686.71, 297,649.82 and 118,894 is: 164,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,686.71 : 297,649.82 = 118,894 : x
  2. Step 2: Convert to fraction form
    215,686.71/297,649.82 = 118,894/x
  3. Step 3: Cross multiply
    215,686.71x = 297,649.82 × 118,894
  4. Step 4: Simplify right side
    215,686.71x = 35,388,777,699.08
  5. Step 5: Solve for x
    x = 35,388,777,699.08/215,686.71
  6. Step 6: Final answer
    x = 164,074.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.