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Finding the Fourth Proportional to 70,390.65, 105,602.54 and 20,471.85

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Solution

The fourth proportional to 70,390.65, 105,602.54 and 20,471.85 is: 30,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,390.65 : 105,602.54 = 20,471.85 : x
  2. Step 2: Convert to fraction form
    70,390.65/105,602.54 = 20,471.85/x
  3. Step 3: Cross multiply
    70,390.65x = 105,602.54 × 20,471.85
  4. Step 4: Simplify right side
    70,390.65x = 2,161,879,256.14
  5. Step 5: Solve for x
    x = 2,161,879,256.14/70,390.65
  6. Step 6: Final answer
    x = 30,712.59

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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.