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Finding the Fourth Proportional to 70,516.40, 105,742.20 and 31,053.20

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Solution

The fourth proportional to 70,516.40, 105,742.20 and 31,053.20 is: 46,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,516.40 : 105,742.20 = 31,053.20 : x
  2. Step 2: Convert to fraction form
    70,516.40/105,742.20 = 31,053.20/x
  3. Step 3: Cross multiply
    70,516.40x = 105,742.20 × 31,053.20
  4. Step 4: Simplify right side
    70,516.40x = 3,283,633,685.04
  5. Step 5: Solve for x
    x = 3,283,633,685.04/70,516.40
  6. Step 6: Final answer
    x = 46,565.53

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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.