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Finding the Fourth Proportional to 339,956.95, 509,967.47 and 100,071.01

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Solution

The fourth proportional to 339,956.95, 509,967.47 and 100,071.01 is: 150,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,956.95 : 509,967.47 = 100,071.01 : x
  2. Step 2: Convert to fraction form
    339,956.95/509,967.47 = 100,071.01/x
  3. Step 3: Cross multiply
    339,956.95x = 509,967.47 × 100,071.01
  4. Step 4: Simplify right side
    339,956.95x = 51,032,959,790.04
  5. Step 5: Solve for x
    x = 51,032,959,790.04/339,956.95
  6. Step 6: Final answer
    x = 150,115.95

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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.