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Finding the Fourth Proportional to 118,977.84, 164,203.20 and 71,231.20

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Solution

The fourth proportional to 118,977.84, 164,203.20 and 71,231.20 is: 98,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,977.84 : 164,203.20 = 71,231.20 : x
  2. Step 2: Convert to fraction form
    118,977.84/164,203.20 = 71,231.20/x
  3. Step 3: Cross multiply
    118,977.84x = 164,203.20 × 71,231.20
  4. Step 4: Simplify right side
    118,977.84x = 11,696,390,979.84
  5. Step 5: Solve for x
    x = 11,696,390,979.84/118,977.84
  6. Step 6: Final answer
    x = 98,307.31

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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.