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Finding the Fourth Proportional to 268,085.66, 369,956.87 and 145,576.95

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Solution

The fourth proportional to 268,085.66, 369,956.87 and 145,576.95 is: 200,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,085.66 : 369,956.87 = 145,576.95 : x
  2. Step 2: Convert to fraction form
    268,085.66/369,956.87 = 145,576.95/x
  3. Step 3: Cross multiply
    268,085.66x = 369,956.87 × 145,576.95
  4. Step 4: Simplify right side
    268,085.66x = 53,857,192,038.26
  5. Step 5: Solve for x
    x = 53,857,192,038.26/268,085.66
  6. Step 6: Final answer
    x = 200,895.46

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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.