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Finding the Fourth Proportional to 96,912, 145,368 and 31,248

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Solution

The fourth proportional to 96,912, 145,368 and 31,248 is: 46,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,912 : 145,368 = 31,248 : x
  2. Step 2: Convert to fraction form
    96,912/145,368 = 31,248/x
  3. Step 3: Cross multiply
    96,912x = 145,368 × 31,248
  4. Step 4: Simplify right side
    96,912x = 4,542,459,264
  5. Step 5: Solve for x
    x = 4,542,459,264/96,912
  6. Step 6: Final answer
    x = 46,872

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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.