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Finding the Fourth Proportional to 70,502.69, 105,729.39 and 28,371.84

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Solution

The fourth proportional to 70,502.69, 105,729.39 and 28,371.84 is: 42,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502.69 : 105,729.39 = 28,371.84 : x
  2. Step 2: Convert to fraction form
    70,502.69/105,729.39 = 28,371.84/x
  3. Step 3: Cross multiply
    70,502.69x = 105,729.39 × 28,371.84
  4. Step 4: Simplify right side
    70,502.69x = 2,999,737,336.38
  5. Step 5: Solve for x
    x = 2,999,737,336.38/70,502.69
  6. Step 6: Final answer
    x = 42,547.85

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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.