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Finding the Fourth Proportional to 53,647.60, 80,471.40 and 14,208.70

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Solution

The fourth proportional to 53,647.60, 80,471.40 and 14,208.70 is: 21,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,647.60 : 80,471.40 = 14,208.70 : x
  2. Step 2: Convert to fraction form
    53,647.60/80,471.40 = 14,208.70/x
  3. Step 3: Cross multiply
    53,647.60x = 80,471.40 × 14,208.70
  4. Step 4: Simplify right side
    53,647.60x = 1,143,393,981.18
  5. Step 5: Solve for x
    x = 1,143,393,981.18/53,647.60
  6. Step 6: Final answer
    x = 21,313.05

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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.