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Finding the Fourth Proportional to 128,886.40, 193,274.34 and 69,706

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Solution

The fourth proportional to 128,886.40, 193,274.34 and 69,706 is: 104,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,886.40 : 193,274.34 = 69,706 : x
  2. Step 2: Convert to fraction form
    128,886.40/193,274.34 = 69,706/x
  3. Step 3: Cross multiply
    128,886.40x = 193,274.34 × 69,706
  4. Step 4: Simplify right side
    128,886.40x = 13,472,381,144.04
  5. Step 5: Solve for x
    x = 13,472,381,144.04/128,886.40
  6. Step 6: Final answer
    x = 104,529.11

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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.