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Finding the Fourth Proportional to 221,854.34, 306,159 and 121,252.34

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Solution

The fourth proportional to 221,854.34, 306,159 and 121,252.34 is: 167,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,854.34 : 306,159 = 121,252.34 : x
  2. Step 2: Convert to fraction form
    221,854.34/306,159 = 121,252.34/x
  3. Step 3: Cross multiply
    221,854.34x = 306,159 × 121,252.34
  4. Step 4: Simplify right side
    221,854.34x = 37,122,495,162.06
  5. Step 5: Solve for x
    x = 37,122,495,162.06/221,854.34
  6. Step 6: Final answer
    x = 167,328.24

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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.