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Finding the Fourth Proportional to 214,854.40, 322,051.20 and 81,683.20

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Solution

The fourth proportional to 214,854.40, 322,051.20 and 81,683.20 is: 122,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,854.40 : 322,051.20 = 81,683.20 : x
  2. Step 2: Convert to fraction form
    214,854.40/322,051.20 = 81,683.20/x
  3. Step 3: Cross multiply
    214,854.40x = 322,051.20 × 81,683.20
  4. Step 4: Simplify right side
    214,854.40x = 26,306,172,579.84
  5. Step 5: Solve for x
    x = 26,306,172,579.84/214,854.40
  6. Step 6: Final answer
    x = 122,437.21

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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.