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Finding the Fourth Proportional to 164,731.84, 247,128.70 and 74,780.87

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Solution

The fourth proportional to 164,731.84, 247,128.70 and 74,780.87 is: 112,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,731.84 : 247,128.70 = 74,780.87 : x
  2. Step 2: Convert to fraction form
    164,731.84/247,128.70 = 74,780.87/x
  3. Step 3: Cross multiply
    164,731.84x = 247,128.70 × 74,780.87
  4. Step 4: Simplify right side
    164,731.84x = 18,480,499,187.97
  5. Step 5: Solve for x
    x = 18,480,499,187.97/164,731.84
  6. Step 6: Final answer
    x = 112,185.35

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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.