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Finding the Fourth Proportional to 140,693.31, 194,155.05 and 77,029.74

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Solution

The fourth proportional to 140,693.31, 194,155.05 and 77,029.74 is: 106,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,693.31 : 194,155.05 = 77,029.74 : x
  2. Step 2: Convert to fraction form
    140,693.31/194,155.05 = 77,029.74/x
  3. Step 3: Cross multiply
    140,693.31x = 194,155.05 × 77,029.74
  4. Step 4: Simplify right side
    140,693.31x = 14,955,713,021.19
  5. Step 5: Solve for x
    x = 14,955,713,021.19/140,693.31
  6. Step 6: Final answer
    x = 106,300.10

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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.