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Finding the Fourth Proportional to 70,639.96, 105,936.54 and 28,509.16

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Solution

The fourth proportional to 70,639.96, 105,936.54 and 28,509.16 is: 42,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,639.96 : 105,936.54 = 28,509.16 : x
  2. Step 2: Convert to fraction form
    70,639.96/105,936.54 = 28,509.16/x
  3. Step 3: Cross multiply
    70,639.96x = 105,936.54 × 28,509.16
  4. Step 4: Simplify right side
    70,639.96x = 3,020,161,768.71
  5. Step 5: Solve for x
    x = 3,020,161,768.71/70,639.96
  6. Step 6: Final answer
    x = 42,754.30

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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.