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Finding the Fourth Proportional to 84,583.61, 126,875.36 and 78,978.57

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Solution

The fourth proportional to 84,583.61, 126,875.36 and 78,978.57 is: 118,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,583.61 : 126,875.36 = 78,978.57 : x
  2. Step 2: Convert to fraction form
    84,583.61/126,875.36 = 78,978.57/x
  3. Step 3: Cross multiply
    84,583.61x = 126,875.36 × 78,978.57
  4. Step 4: Simplify right side
    84,583.61x = 10,020,434,106.14
  5. Step 5: Solve for x
    x = 10,020,434,106.14/84,583.61
  6. Step 6: Final answer
    x = 118,467.81

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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.