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Finding the Fourth Proportional to 78,484.92, 117,661.02 and 34,078.08

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Solution

The fourth proportional to 78,484.92, 117,661.02 and 34,078.08 is: 51,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,484.92 : 117,661.02 = 34,078.08 : x
  2. Step 2: Convert to fraction form
    78,484.92/117,661.02 = 34,078.08/x
  3. Step 3: Cross multiply
    78,484.92x = 117,661.02 × 34,078.08
  4. Step 4: Simplify right side
    78,484.92x = 4,009,661,652.44
  5. Step 5: Solve for x
    x = 4,009,661,652.44/78,484.92
  6. Step 6: Final answer
    x = 51,088.31

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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.