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Finding the Fourth Proportional to 70,449.11, 105,719.46 and 30,507.10

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Solution

The fourth proportional to 70,449.11, 105,719.46 and 30,507.10 is: 45,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,449.11 : 105,719.46 = 30,507.10 : x
  2. Step 2: Convert to fraction form
    70,449.11/105,719.46 = 30,507.10/x
  3. Step 3: Cross multiply
    70,449.11x = 105,719.46 × 30,507.10
  4. Step 4: Simplify right side
    70,449.11x = 3,225,193,931.07
  5. Step 5: Solve for x
    x = 3,225,193,931.07/70,449.11
  6. Step 6: Final answer
    x = 45,780.48

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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.