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Finding the Fourth Proportional to 70,418.34, 105,472.71 and 66,536.46

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Solution

The fourth proportional to 70,418.34, 105,472.71 and 66,536.46 is: 99,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,418.34 : 105,472.71 = 66,536.46 : x
  2. Step 2: Convert to fraction form
    70,418.34/105,472.71 = 66,536.46/x
  3. Step 3: Cross multiply
    70,418.34x = 105,472.71 × 66,536.46
  4. Step 4: Simplify right side
    70,418.34x = 7,017,780,750.01
  5. Step 5: Solve for x
    x = 7,017,780,750.01/70,418.34
  6. Step 6: Final answer
    x = 99,658.42

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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.