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Finding the Fourth Proportional to 140,564.60, 193,980.58 and 76,901

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Solution

The fourth proportional to 140,564.60, 193,980.58 and 76,901 is: 106,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,564.60 : 193,980.58 = 76,901 : x
  2. Step 2: Convert to fraction form
    140,564.60/193,980.58 = 76,901/x
  3. Step 3: Cross multiply
    140,564.60x = 193,980.58 × 76,901
  4. Step 4: Simplify right side
    140,564.60x = 14,917,300,582.58
  5. Step 5: Solve for x
    x = 14,917,300,582.58/140,564.60
  6. Step 6: Final answer
    x = 106,124.16

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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.