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Finding the Fourth Proportional to 245,071.78, 338,206.60 and 137,644.08

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Solution

The fourth proportional to 245,071.78, 338,206.60 and 137,644.08 is: 189,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,071.78 : 338,206.60 = 137,644.08 : x
  2. Step 2: Convert to fraction form
    245,071.78/338,206.60 = 137,644.08/x
  3. Step 3: Cross multiply
    245,071.78x = 338,206.60 × 137,644.08
  4. Step 4: Simplify right side
    245,071.78x = 46,552,136,306.93
  5. Step 5: Solve for x
    x = 46,552,136,306.93/245,071.78
  6. Step 6: Final answer
    x = 189,953.07

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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.