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Finding the Fourth Proportional to 70,023, 105,034.32 and 30,016.04

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Solution

The fourth proportional to 70,023, 105,034.32 and 30,016.04 is: 45,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,023 : 105,034.32 = 30,016.04 : x
  2. Step 2: Convert to fraction form
    70,023/105,034.32 = 30,016.04/x
  3. Step 3: Cross multiply
    70,023x = 105,034.32 × 30,016.04
  4. Step 4: Simplify right side
    70,023x = 3,152,714,350.49
  5. Step 5: Solve for x
    x = 3,152,714,350.49/70,023
  6. Step 6: Final answer
    x = 45,023.98

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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.