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Finding the Fourth Proportional to 48,428.80, 72,643.20 and 42,284.80

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Solution

The fourth proportional to 48,428.80, 72,643.20 and 42,284.80 is: 63,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,428.80 : 72,643.20 = 42,284.80 : x
  2. Step 2: Convert to fraction form
    48,428.80/72,643.20 = 42,284.80/x
  3. Step 3: Cross multiply
    48,428.80x = 72,643.20 × 42,284.80
  4. Step 4: Simplify right side
    48,428.80x = 3,071,703,183.36
  5. Step 5: Solve for x
    x = 3,071,703,183.36/48,428.80
  6. Step 6: Final answer
    x = 63,427.20

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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.