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Finding the Fourth Proportional to 129,641.40, 194,462.10 and 114,089.40

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Solution

The fourth proportional to 129,641.40, 194,462.10 and 114,089.40 is: 171,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,641.40 : 194,462.10 = 114,089.40 : x
  2. Step 2: Convert to fraction form
    129,641.40/194,462.10 = 114,089.40/x
  3. Step 3: Cross multiply
    129,641.40x = 194,462.10 × 114,089.40
  4. Step 4: Simplify right side
    129,641.40x = 22,186,064,311.74
  5. Step 5: Solve for x
    x = 22,186,064,311.74/129,641.40
  6. Step 6: Final answer
    x = 171,134.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.