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Finding the Fourth Proportional to 76,871.76, 106,078.98 and 42,883.80

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Solution

The fourth proportional to 76,871.76, 106,078.98 and 42,883.80 is: 59,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,871.76 : 106,078.98 = 42,883.80 : x
  2. Step 2: Convert to fraction form
    76,871.76/106,078.98 = 42,883.80/x
  3. Step 3: Cross multiply
    76,871.76x = 106,078.98 × 42,883.80
  4. Step 4: Simplify right side
    76,871.76x = 4,549,069,762.52
  5. Step 5: Solve for x
    x = 4,549,069,762.52/76,871.76
  6. Step 6: Final answer
    x = 59,177.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.