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Finding the Fourth Proportional to 70,530.40, 105,721.80 and 23,767.12

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Solution

The fourth proportional to 70,530.40, 105,721.80 and 23,767.12 is: 35,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,530.40 : 105,721.80 = 23,767.12 : x
  2. Step 2: Convert to fraction form
    70,530.40/105,721.80 = 23,767.12/x
  3. Step 3: Cross multiply
    70,530.40x = 105,721.80 × 23,767.12
  4. Step 4: Simplify right side
    70,530.40x = 2,512,702,707.22
  5. Step 5: Solve for x
    x = 2,512,702,707.22/70,530.40
  6. Step 6: Final answer
    x = 35,625.81

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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.