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Finding the Fourth Proportional to 117,461, 162,042.36 and 69,687.20

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Solution

The fourth proportional to 117,461, 162,042.36 and 69,687.20 is: 96,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,461 : 162,042.36 = 69,687.20 : x
  2. Step 2: Convert to fraction form
    117,461/162,042.36 = 69,687.20/x
  3. Step 3: Cross multiply
    117,461x = 162,042.36 × 69,687.20
  4. Step 4: Simplify right side
    117,461x = 11,292,278,349.79
  5. Step 5: Solve for x
    x = 11,292,278,349.79/117,461
  6. Step 6: Final answer
    x = 96,136.41

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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.