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Finding the Fourth Proportional to 140,688, 211,032 and 42,192

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Solution

The fourth proportional to 140,688, 211,032 and 42,192 is: 63,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,688 : 211,032 = 42,192 : x
  2. Step 2: Convert to fraction form
    140,688/211,032 = 42,192/x
  3. Step 3: Cross multiply
    140,688x = 211,032 × 42,192
  4. Step 4: Simplify right side
    140,688x = 8,903,862,144
  5. Step 5: Solve for x
    x = 8,903,862,144/140,688
  6. Step 6: Final answer
    x = 63,288

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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.