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Finding the Fourth Proportional to 129,931.39, 194,897.07 and 31,435.39

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Solution

The fourth proportional to 129,931.39, 194,897.07 and 31,435.39 is: 47,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,931.39 : 194,897.07 = 31,435.39 : x
  2. Step 2: Convert to fraction form
    129,931.39/194,897.07 = 31,435.39/x
  3. Step 3: Cross multiply
    129,931.39x = 194,897.07 × 31,435.39
  4. Step 4: Simplify right side
    129,931.39x = 6,126,665,405.31
  5. Step 5: Solve for x
    x = 6,126,665,405.31/129,931.39
  6. Step 6: Final answer
    x = 47,153.08

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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.