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Finding the Fourth Proportional to 70,838.74, 106,178.37 and 30,891.34

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Solution

The fourth proportional to 70,838.74, 106,178.37 and 30,891.34 is: 46,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,838.74 : 106,178.37 = 30,891.34 : x
  2. Step 2: Convert to fraction form
    70,838.74/106,178.37 = 30,891.34/x
  3. Step 3: Cross multiply
    70,838.74x = 106,178.37 × 30,891.34
  4. Step 4: Simplify right side
    70,838.74x = 3,279,992,128.32
  5. Step 5: Solve for x
    x = 3,279,992,128.32/70,838.74
  6. Step 6: Final answer
    x = 46,302.24

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1.5x scale

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.