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Finding the Fourth Proportional to 78,841.84, 118,160.08 and 32,040

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Solution

The fourth proportional to 78,841.84, 118,160.08 and 32,040 is: 48,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,841.84 : 118,160.08 = 32,040 : x
  2. Step 2: Convert to fraction form
    78,841.84/118,160.08 = 32,040/x
  3. Step 3: Cross multiply
    78,841.84x = 118,160.08 × 32,040
  4. Step 4: Simplify right side
    78,841.84x = 3,785,848,963.20
  5. Step 5: Solve for x
    x = 3,785,848,963.20/78,841.84
  6. Step 6: Final answer
    x = 48,018.27

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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.