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Finding the Fourth Proportional to 70,448.64, 105,715.88 and 28,320.80

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Solution

The fourth proportional to 70,448.64, 105,715.88 and 28,320.80 is: 42,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,448.64 : 105,715.88 = 28,320.80 : x
  2. Step 2: Convert to fraction form
    70,448.64/105,715.88 = 28,320.80/x
  3. Step 3: Cross multiply
    70,448.64x = 105,715.88 × 28,320.80
  4. Step 4: Simplify right side
    70,448.64x = 2,993,958,294.30
  5. Step 5: Solve for x
    x = 2,993,958,294.30/70,448.64
  6. Step 6: Final answer
    x = 42,498.45

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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.