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Finding the Fourth Proportional to 118,959.16, 164,215.80 and 83,289.04

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Solution

The fourth proportional to 118,959.16, 164,215.80 and 83,289.04 is: 114,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,959.16 : 164,215.80 = 83,289.04 : x
  2. Step 2: Convert to fraction form
    118,959.16/164,215.80 = 83,289.04/x
  3. Step 3: Cross multiply
    118,959.16x = 164,215.80 × 83,289.04
  4. Step 4: Simplify right side
    118,959.16x = 13,677,376,334.83
  5. Step 5: Solve for x
    x = 13,677,376,334.83/118,959.16
  6. Step 6: Final answer
    x = 114,975.39

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1.5x scale

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.