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Finding the Fourth Proportional to 70,505.80, 105,731.26 and 35,421

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Solution

The fourth proportional to 70,505.80, 105,731.26 and 35,421 is: 53,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.80 : 105,731.26 = 35,421 : x
  2. Step 2: Convert to fraction form
    70,505.80/105,731.26 = 35,421/x
  3. Step 3: Cross multiply
    70,505.80x = 105,731.26 × 35,421
  4. Step 4: Simplify right side
    70,505.80x = 3,745,106,960.46
  5. Step 5: Solve for x
    x = 3,745,106,960.46/70,505.80
  6. Step 6: Final answer
    x = 53,117.71

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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.