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Finding the Fourth Proportional to 70,688.16, 105,976.62 and 48,433.68

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Solution

The fourth proportional to 70,688.16, 105,976.62 and 48,433.68 is: 72,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,688.16 : 105,976.62 = 48,433.68 : x
  2. Step 2: Convert to fraction form
    70,688.16/105,976.62 = 48,433.68/x
  3. Step 3: Cross multiply
    70,688.16x = 105,976.62 × 48,433.68
  4. Step 4: Simplify right side
    70,688.16x = 5,132,837,700.56
  5. Step 5: Solve for x
    x = 5,132,837,700.56/70,688.16
  6. Step 6: Final answer
    x = 72,612.41

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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.