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Finding the Fourth Proportional to 140,671.74, 194,130.42 and 77,009.34

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Solution

The fourth proportional to 140,671.74, 194,130.42 and 77,009.34 is: 106,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,671.74 : 194,130.42 = 77,009.34 : x
  2. Step 2: Convert to fraction form
    140,671.74/194,130.42 = 77,009.34/x
  3. Step 3: Cross multiply
    140,671.74x = 194,130.42 × 77,009.34
  4. Step 4: Simplify right side
    140,671.74x = 14,949,855,518.12
  5. Step 5: Solve for x
    x = 14,949,855,518.12/140,671.74
  6. Step 6: Final answer
    x = 106,274.76

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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.