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Finding the Fourth Proportional to 221,696.64, 332,656.16 and 103,377.28

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Solution

The fourth proportional to 221,696.64, 332,656.16 and 103,377.28 is: 155,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,696.64 : 332,656.16 = 103,377.28 : x
  2. Step 2: Convert to fraction form
    221,696.64/332,656.16 = 103,377.28/x
  3. Step 3: Cross multiply
    221,696.64x = 332,656.16 × 103,377.28
  4. Step 4: Simplify right side
    221,696.64x = 34,389,088,996.04
  5. Step 5: Solve for x
    x = 34,389,088,996.04/221,696.64
  6. Step 6: Final answer
    x = 155,117.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.