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Finding the Fourth Proportional to 78,728.60, 118,107.30 and 31,986.20

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Solution

The fourth proportional to 78,728.60, 118,107.30 and 31,986.20 is: 47,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,728.60 : 118,107.30 = 31,986.20 : x
  2. Step 2: Convert to fraction form
    78,728.60/118,107.30 = 31,986.20/x
  3. Step 3: Cross multiply
    78,728.60x = 118,107.30 × 31,986.20
  4. Step 4: Simplify right side
    78,728.60x = 3,777,803,719.26
  5. Step 5: Solve for x
    x = 3,777,803,719.26/78,728.60
  6. Step 6: Final answer
    x = 47,985.15

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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.