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Finding the Fourth Proportional to 70,642.46, 105,860 and 35,533.82

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Solution

The fourth proportional to 70,642.46, 105,860 and 35,533.82 is: 53,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.46 : 105,860 = 35,533.82 : x
  2. Step 2: Convert to fraction form
    70,642.46/105,860 = 35,533.82/x
  3. Step 3: Cross multiply
    70,642.46x = 105,860 × 35,533.82
  4. Step 4: Simplify right side
    70,642.46x = 3,761,609,655.90
  5. Step 5: Solve for x
    x = 3,761,609,655.90/70,642.46
  6. Step 6: Final answer
    x = 53,248.57

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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.