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Finding the Fourth Proportional to 48,448, 72,663.60 and 13,378.24

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Solution

The fourth proportional to 48,448, 72,663.60 and 13,378.24 is: 20,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448 : 72,663.60 = 13,378.24 : x
  2. Step 2: Convert to fraction form
    48,448/72,663.60 = 13,378.24/x
  3. Step 3: Cross multiply
    48,448x = 72,663.60 × 13,378.24
  4. Step 4: Simplify right side
    48,448x = 972,111,080.06
  5. Step 5: Solve for x
    x = 972,111,080.06/48,448
  6. Step 6: Final answer
    x = 20,065.04

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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.