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Finding the Fourth Proportional to 140,762.81, 194,252.78 and 77,100.86

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Solution

The fourth proportional to 140,762.81, 194,252.78 and 77,100.86 is: 106,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,762.81 : 194,252.78 = 77,100.86 : x
  2. Step 2: Convert to fraction form
    140,762.81/194,252.78 = 77,100.86/x
  3. Step 3: Cross multiply
    140,762.81x = 194,252.78 × 77,100.86
  4. Step 4: Simplify right side
    140,762.81x = 14,977,057,073.77
  5. Step 5: Solve for x
    x = 14,977,057,073.77/140,762.81
  6. Step 6: Final answer
    x = 106,399.25

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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.