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Finding the Fourth Proportional to 100,030.70, 149,892.45 and 86,821.10

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Solution

The fourth proportional to 100,030.70, 149,892.45 and 86,821.10 is: 130,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,030.70 : 149,892.45 = 86,821.10 : x
  2. Step 2: Convert to fraction form
    100,030.70/149,892.45 = 86,821.10/x
  3. Step 3: Cross multiply
    100,030.70x = 149,892.45 × 86,821.10
  4. Step 4: Simplify right side
    100,030.70x = 13,013,827,390.70
  5. Step 5: Solve for x
    x = 13,013,827,390.70/100,030.70
  6. Step 6: Final answer
    x = 130,098.33

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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.