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Finding the Fourth Proportional to 100,469.76, 150,707.52 and 56,071.68

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Solution

The fourth proportional to 100,469.76, 150,707.52 and 56,071.68 is: 84,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,469.76 : 150,707.52 = 56,071.68 : x
  2. Step 2: Convert to fraction form
    100,469.76/150,707.52 = 56,071.68/x
  3. Step 3: Cross multiply
    100,469.76x = 150,707.52 × 56,071.68
  4. Step 4: Simplify right side
    100,469.76x = 8,450,423,835.03
  5. Step 5: Solve for x
    x = 8,450,423,835.03/100,469.76
  6. Step 6: Final answer
    x = 84,109.13

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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.