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Finding the Fourth Proportional to 129,924, 194,886 and 31,428

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Solution

The fourth proportional to 129,924, 194,886 and 31,428 is: 47,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,924 : 194,886 = 31,428 : x
  2. Step 2: Convert to fraction form
    129,924/194,886 = 31,428/x
  3. Step 3: Cross multiply
    129,924x = 194,886 × 31,428
  4. Step 4: Simplify right side
    129,924x = 6,124,877,208
  5. Step 5: Solve for x
    x = 6,124,877,208/129,924
  6. Step 6: Final answer
    x = 47,142

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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.