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Finding the Fourth Proportional to 70,214.76, 105,322.12 and 28,113.80

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Solution

The fourth proportional to 70,214.76, 105,322.12 and 28,113.80 is: 42,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,214.76 : 105,322.12 = 28,113.80 : x
  2. Step 2: Convert to fraction form
    70,214.76/105,322.12 = 28,113.80/x
  3. Step 3: Cross multiply
    70,214.76x = 105,322.12 × 28,113.80
  4. Step 4: Simplify right side
    70,214.76x = 2,961,005,017.26
  5. Step 5: Solve for x
    x = 2,961,005,017.26/70,214.76
  6. Step 6: Final answer
    x = 42,170.69

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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.