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Finding the Fourth Proportional to 214,903.68, 322,357.95 and 65,142.78

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Solution

The fourth proportional to 214,903.68, 322,357.95 and 65,142.78 is: 97,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,903.68 : 322,357.95 = 65,142.78 : x
  2. Step 2: Convert to fraction form
    214,903.68/322,357.95 = 65,142.78/x
  3. Step 3: Cross multiply
    214,903.68x = 322,357.95 × 65,142.78
  4. Step 4: Simplify right side
    214,903.68x = 20,999,293,018.10
  5. Step 5: Solve for x
    x = 20,999,293,018.10/214,903.68
  6. Step 6: Final answer
    x = 97,714.91

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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.