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Finding the Fourth Proportional to 70,402.43, 105,590.82 and 28,280.81

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Solution

The fourth proportional to 70,402.43, 105,590.82 and 28,280.81 is: 42,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,402.43 : 105,590.82 = 28,280.81 : x
  2. Step 2: Convert to fraction form
    70,402.43/105,590.82 = 28,280.81/x
  3. Step 3: Cross multiply
    70,402.43x = 105,590.82 × 28,280.81
  4. Step 4: Simplify right side
    70,402.43x = 2,986,193,390.21
  5. Step 5: Solve for x
    x = 2,986,193,390.21/70,402.43
  6. Step 6: Final answer
    x = 42,416.06

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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.