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Finding the Fourth Proportional to 126,752.38, 190,315.47 and 70,702

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Solution

The fourth proportional to 126,752.38, 190,315.47 and 70,702 is: 106,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,752.38 : 190,315.47 = 70,702 : x
  2. Step 2: Convert to fraction form
    126,752.38/190,315.47 = 70,702/x
  3. Step 3: Cross multiply
    126,752.38x = 190,315.47 × 70,702
  4. Step 4: Simplify right side
    126,752.38x = 13,455,684,359.94
  5. Step 5: Solve for x
    x = 13,455,684,359.94/126,752.38
  6. Step 6: Final answer
    x = 106,157.25

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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.