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Finding the Fourth Proportional to 70,101.96, 105,144.30 and 28,549.32

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Solution

The fourth proportional to 70,101.96, 105,144.30 and 28,549.32 is: 42,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,101.96 : 105,144.30 = 28,549.32 : x
  2. Step 2: Convert to fraction form
    70,101.96/105,144.30 = 28,549.32/x
  3. Step 3: Cross multiply
    70,101.96x = 105,144.30 × 28,549.32
  4. Step 4: Simplify right side
    70,101.96x = 3,001,798,266.88
  5. Step 5: Solve for x
    x = 3,001,798,266.88/70,101.96
  6. Step 6: Final answer
    x = 42,820.46

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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.