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Finding the Fourth Proportional to 53,807.60, 80,711.40 and 32,812.40

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Solution

The fourth proportional to 53,807.60, 80,711.40 and 32,812.40 is: 49,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,807.60 : 80,711.40 = 32,812.40 : x
  2. Step 2: Convert to fraction form
    53,807.60/80,711.40 = 32,812.40/x
  3. Step 3: Cross multiply
    53,807.60x = 80,711.40 × 32,812.40
  4. Step 4: Simplify right side
    53,807.60x = 2,648,334,741.36
  5. Step 5: Solve for x
    x = 2,648,334,741.36/53,807.60
  6. Step 6: Final answer
    x = 49,218.60

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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.