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Finding the Fourth Proportional to 70,274.07, 96,978.51 and 38,443.50

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Solution

The fourth proportional to 70,274.07, 96,978.51 and 38,443.50 is: 53,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,274.07 : 96,978.51 = 38,443.50 : x
  2. Step 2: Convert to fraction form
    70,274.07/96,978.51 = 38,443.50/x
  3. Step 3: Cross multiply
    70,274.07x = 96,978.51 × 38,443.50
  4. Step 4: Simplify right side
    70,274.07x = 3,728,193,349.19
  5. Step 5: Solve for x
    x = 3,728,193,349.19/70,274.07
  6. Step 6: Final answer
    x = 53,052.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.