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Finding the Fourth Proportional to 102,156.74, 140,995.71 and 63,934.05

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Solution

The fourth proportional to 102,156.74, 140,995.71 and 63,934.05 is: 88,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,156.74 : 140,995.71 = 63,934.05 : x
  2. Step 2: Convert to fraction form
    102,156.74/140,995.71 = 63,934.05/x
  3. Step 3: Cross multiply
    102,156.74x = 140,995.71 × 63,934.05
  4. Step 4: Simplify right side
    102,156.74x = 9,014,426,772.93
  5. Step 5: Solve for x
    x = 9,014,426,772.93/102,156.74
  6. Step 6: Final answer
    x = 88,241.14

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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.