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Finding the Fourth Proportional to 70,034.80, 105,053.10 and 23,287.68

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Solution

The fourth proportional to 70,034.80, 105,053.10 and 23,287.68 is: 34,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,034.80 : 105,053.10 = 23,287.68 : x
  2. Step 2: Convert to fraction form
    70,034.80/105,053.10 = 23,287.68/x
  3. Step 3: Cross multiply
    70,034.80x = 105,053.10 × 23,287.68
  4. Step 4: Simplify right side
    70,034.80x = 2,446,442,975.81
  5. Step 5: Solve for x
    x = 2,446,442,975.81/70,034.80
  6. Step 6: Final answer
    x = 34,931.82

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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.