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Finding the Fourth Proportional to 70,133.82, 105,200.70 and 17,543.28

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Solution

The fourth proportional to 70,133.82, 105,200.70 and 17,543.28 is: 26,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,133.82 : 105,200.70 = 17,543.28 : x
  2. Step 2: Convert to fraction form
    70,133.82/105,200.70 = 17,543.28/x
  3. Step 3: Cross multiply
    70,133.82x = 105,200.70 × 17,543.28
  4. Step 4: Simplify right side
    70,133.82x = 1,845,565,336.30
  5. Step 5: Solve for x
    x = 1,845,565,336.30/70,133.82
  6. Step 6: Final answer
    x = 26,314.91

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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.