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Finding the Fourth Proportional to 221,966.64, 306,313.96 and 121,364.64

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Solution

The fourth proportional to 221,966.64, 306,313.96 and 121,364.64 is: 167,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,966.64 : 306,313.96 = 121,364.64 : x
  2. Step 2: Convert to fraction form
    221,966.64/306,313.96 = 121,364.64/x
  3. Step 3: Cross multiply
    221,966.64x = 306,313.96 × 121,364.64
  4. Step 4: Simplify right side
    221,966.64x = 37,175,683,482.37
  5. Step 5: Solve for x
    x = 37,175,683,482.37/221,966.64
  6. Step 6: Final answer
    x = 167,483.20

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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.