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Finding the Fourth Proportional to 118,584, 163,684.80 and 85,147.20

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Solution

The fourth proportional to 118,584, 163,684.80 and 85,147.20 is: 117,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,584 : 163,684.80 = 85,147.20 : x
  2. Step 2: Convert to fraction form
    118,584/163,684.80 = 85,147.20/x
  3. Step 3: Cross multiply
    118,584x = 163,684.80 × 85,147.20
  4. Step 4: Simplify right side
    118,584x = 13,937,302,402.56
  5. Step 5: Solve for x
    x = 13,937,302,402.56/118,584
  6. Step 6: Final answer
    x = 117,531.05

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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.