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Finding the Fourth Proportional to 70,077, 96,708.36 and 39,866.64

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Solution

The fourth proportional to 70,077, 96,708.36 and 39,866.64 is: 55,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,077 : 96,708.36 = 39,866.64 : x
  2. Step 2: Convert to fraction form
    70,077/96,708.36 = 39,866.64/x
  3. Step 3: Cross multiply
    70,077x = 96,708.36 × 39,866.64
  4. Step 4: Simplify right side
    70,077x = 3,855,437,373.11
  5. Step 5: Solve for x
    x = 3,855,437,373.11/70,077
  6. Step 6: Final answer
    x = 55,017.16

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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.