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Finding the Fourth Proportional to 118,970.71, 164,146.30 and 76,553.84

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Solution

The fourth proportional to 118,970.71, 164,146.30 and 76,553.84 is: 105,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,970.71 : 164,146.30 = 76,553.84 : x
  2. Step 2: Convert to fraction form
    118,970.71/164,146.30 = 76,553.84/x
  3. Step 3: Cross multiply
    118,970.71x = 164,146.30 × 76,553.84
  4. Step 4: Simplify right side
    118,970.71x = 12,566,029,805.77
  5. Step 5: Solve for x
    x = 12,566,029,805.77/118,970.71
  6. Step 6: Final answer
    x = 105,622.89

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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.