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Finding the Fourth Proportional to 140,184, 210,276 and 41,688

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Solution

The fourth proportional to 140,184, 210,276 and 41,688 is: 62,532

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,184 : 210,276 = 41,688 : x
  2. Step 2: Convert to fraction form
    140,184/210,276 = 41,688/x
  3. Step 3: Cross multiply
    140,184x = 210,276 × 41,688
  4. Step 4: Simplify right side
    140,184x = 8,765,985,888
  5. Step 5: Solve for x
    x = 8,765,985,888/140,184
  6. Step 6: Final answer
    x = 62,532

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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.