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Finding the Fourth Proportional to 142,674.81, 214,028.63 and 83,511

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Solution

The fourth proportional to 142,674.81, 214,028.63 and 83,511 is: 125,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,674.81 : 214,028.63 = 83,511 : x
  2. Step 2: Convert to fraction form
    142,674.81/214,028.63 = 83,511/x
  3. Step 3: Cross multiply
    142,674.81x = 214,028.63 × 83,511
  4. Step 4: Simplify right side
    142,674.81x = 17,873,744,502.38
  5. Step 5: Solve for x
    x = 17,873,744,502.38/142,674.81
  6. Step 6: Final answer
    x = 125,276.11

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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.