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Finding the Fourth Proportional to 84,657.63, 126,875.02 and 47,235.32

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Solution

The fourth proportional to 84,657.63, 126,875.02 and 47,235.32 is: 70,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,657.63 : 126,875.02 = 47,235.32 : x
  2. Step 2: Convert to fraction form
    84,657.63/126,875.02 = 47,235.32/x
  3. Step 3: Cross multiply
    84,657.63x = 126,875.02 × 47,235.32
  4. Step 4: Simplify right side
    84,657.63x = 5,992,982,169.71
  5. Step 5: Solve for x
    x = 5,992,982,169.71/84,657.63
  6. Step 6: Final answer
    x = 70,790.81

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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.