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Finding the Fourth Proportional to 78,534.48, 117,811.84 and 28,606.88

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Solution

The fourth proportional to 78,534.48, 117,811.84 and 28,606.88 is: 42,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534.48 : 117,811.84 = 28,606.88 : x
  2. Step 2: Convert to fraction form
    78,534.48/117,811.84 = 28,606.88/x
  3. Step 3: Cross multiply
    78,534.48x = 117,811.84 × 28,606.88
  4. Step 4: Simplify right side
    78,534.48x = 3,370,229,169.46
  5. Step 5: Solve for x
    x = 3,370,229,169.46/78,534.48
  6. Step 6: Final answer
    x = 42,914.01

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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.