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Finding the Fourth Proportional to 70,347.81, 105,489.82 and 30,347.93

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Solution

The fourth proportional to 70,347.81, 105,489.82 and 30,347.93 is: 45,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,347.81 : 105,489.82 = 30,347.93 : x
  2. Step 2: Convert to fraction form
    70,347.81/105,489.82 = 30,347.93/x
  3. Step 3: Cross multiply
    70,347.81x = 105,489.82 × 30,347.93
  4. Step 4: Simplify right side
    70,347.81x = 3,201,397,673.07
  5. Step 5: Solve for x
    x = 3,201,397,673.07/70,347.81
  6. Step 6: Final answer
    x = 45,508.14

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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.