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Finding the Fourth Proportional to 100,624.60, 138,715.63 and 70,315.86

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Solution

The fourth proportional to 100,624.60, 138,715.63 and 70,315.86 is: 96,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,624.60 : 138,715.63 = 70,315.86 : x
  2. Step 2: Convert to fraction form
    100,624.60/138,715.63 = 70,315.86/x
  3. Step 3: Cross multiply
    100,624.60x = 138,715.63 × 70,315.86
  4. Step 4: Simplify right side
    100,624.60x = 9,753,909,163.29
  5. Step 5: Solve for x
    x = 9,753,909,163.29/100,624.60
  6. Step 6: Final answer
    x = 96,933.64

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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.