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Finding the Fourth Proportional to 70,688.40, 105,978.60 and 35,653.20

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Solution

The fourth proportional to 70,688.40, 105,978.60 and 35,653.20 is: 53,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,688.40 : 105,978.60 = 35,653.20 : x
  2. Step 2: Convert to fraction form
    70,688.40/105,978.60 = 35,653.20/x
  3. Step 3: Cross multiply
    70,688.40x = 105,978.60 × 35,653.20
  4. Step 4: Simplify right side
    70,688.40x = 3,778,476,221.52
  5. Step 5: Solve for x
    x = 3,778,476,221.52/70,688.40
  6. Step 6: Final answer
    x = 53,452.56

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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.