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Finding the Fourth Proportional to 221,689.16, 305,929.12 and 121,085

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Solution

The fourth proportional to 221,689.16, 305,929.12 and 121,085 is: 167,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,689.16 : 305,929.12 = 121,085 : x
  2. Step 2: Convert to fraction form
    221,689.16/305,929.12 = 121,085/x
  3. Step 3: Cross multiply
    221,689.16x = 305,929.12 × 121,085
  4. Step 4: Simplify right side
    221,689.16x = 37,043,427,495.20
  5. Step 5: Solve for x
    x = 37,043,427,495.20/221,689.16
  6. Step 6: Final answer
    x = 167,096.25

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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.