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Finding the Fourth Proportional to 145,456.14, 200,722.14 and 81,790.14

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Solution

The fourth proportional to 145,456.14, 200,722.14 and 81,790.14 is: 112,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,456.14 : 200,722.14 = 81,790.14 : x
  2. Step 2: Convert to fraction form
    145,456.14/200,722.14 = 81,790.14/x
  3. Step 3: Cross multiply
    145,456.14x = 200,722.14 × 81,790.14
  4. Step 4: Simplify right side
    145,456.14x = 16,417,091,931.70
  5. Step 5: Solve for x
    x = 16,417,091,931.70/145,456.14
  6. Step 6: Final answer
    x = 112,866.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.