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Finding the Fourth Proportional to 214,871.70, 322,308.45 and 72,718.10

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Solution

The fourth proportional to 214,871.70, 322,308.45 and 72,718.10 is: 109,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,871.70 : 322,308.45 = 72,718.10 : x
  2. Step 2: Convert to fraction form
    214,871.70/322,308.45 = 72,718.10/x
  3. Step 3: Cross multiply
    214,871.70x = 322,308.45 × 72,718.10
  4. Step 4: Simplify right side
    214,871.70x = 23,437,656,486.40
  5. Step 5: Solve for x
    x = 23,437,656,486.40/214,871.70
  6. Step 6: Final answer
    x = 109,077.45

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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.