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Finding the Fourth Proportional to 129,925, 194,887.50 and 31,429

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Solution

The fourth proportional to 129,925, 194,887.50 and 31,429 is: 47,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,925 : 194,887.50 = 31,429 : x
  2. Step 2: Convert to fraction form
    129,925/194,887.50 = 31,429/x
  3. Step 3: Cross multiply
    129,925x = 194,887.50 × 31,429
  4. Step 4: Simplify right side
    129,925x = 6,125,119,237.50
  5. Step 5: Solve for x
    x = 6,125,119,237.50/129,925
  6. Step 6: Final answer
    x = 47,143.50

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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.