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Finding the Fourth Proportional to 78,116.34, 117,150.27 and 28,189.92

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Solution

The fourth proportional to 78,116.34, 117,150.27 and 28,189.92 is: 42,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,116.34 : 117,150.27 = 28,189.92 : x
  2. Step 2: Convert to fraction form
    78,116.34/117,150.27 = 28,189.92/x
  3. Step 3: Cross multiply
    78,116.34x = 117,150.27 × 28,189.92
  4. Step 4: Simplify right side
    78,116.34x = 3,302,456,739.28
  5. Step 5: Solve for x
    x = 3,302,456,739.28/78,116.34
  6. Step 6: Final answer
    x = 42,276.13

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1.5x scale

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.