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Finding the Fourth Proportional to 268,129.98, 370,022.40 and 147,274.06

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Solution

The fourth proportional to 268,129.98, 370,022.40 and 147,274.06 is: 203,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,129.98 : 370,022.40 = 147,274.06 : x
  2. Step 2: Convert to fraction form
    268,129.98/370,022.40 = 147,274.06/x
  3. Step 3: Cross multiply
    268,129.98x = 370,022.40 × 147,274.06
  4. Step 4: Simplify right side
    268,129.98x = 54,494,700,402.57
  5. Step 5: Solve for x
    x = 54,494,700,402.57/268,129.98
  6. Step 6: Final answer
    x = 203,239.87

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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.