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Finding the Fourth Proportional to 140,322.84, 210,481.28 and 45,552.87

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Solution

The fourth proportional to 140,322.84, 210,481.28 and 45,552.87 is: 68,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,322.84 : 210,481.28 = 45,552.87 : x
  2. Step 2: Convert to fraction form
    140,322.84/210,481.28 = 45,552.87/x
  3. Step 3: Cross multiply
    140,322.84x = 210,481.28 × 45,552.87
  4. Step 4: Simplify right side
    140,322.84x = 9,588,026,157.51
  5. Step 5: Solve for x
    x = 9,588,026,157.51/140,322.84
  6. Step 6: Final answer
    x = 68,328.34

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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.