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Finding the Fourth Proportional to 53,838.60, 80,757.90 and 51,419.40

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Solution

The fourth proportional to 53,838.60, 80,757.90 and 51,419.40 is: 77,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838.60 : 80,757.90 = 51,419.40 : x
  2. Step 2: Convert to fraction form
    53,838.60/80,757.90 = 51,419.40/x
  3. Step 3: Cross multiply
    53,838.60x = 80,757.90 × 51,419.40
  4. Step 4: Simplify right side
    53,838.60x = 4,152,522,763.26
  5. Step 5: Solve for x
    x = 4,152,522,763.26/53,838.60
  6. Step 6: Final answer
    x = 77,129.10

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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.