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Finding the Fourth Proportional to 199,612.71, 299,575.47 and 139,248.54

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Solution

The fourth proportional to 199,612.71, 299,575.47 and 139,248.54 is: 208,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,612.71 : 299,575.47 = 139,248.54 : x
  2. Step 2: Convert to fraction form
    199,612.71/299,575.47 = 139,248.54/x
  3. Step 3: Cross multiply
    199,612.71x = 299,575.47 × 139,248.54
  4. Step 4: Simplify right side
    199,612.71x = 41,715,446,817.31
  5. Step 5: Solve for x
    x = 41,715,446,817.31/199,612.71
  6. Step 6: Final answer
    x = 208,981.92

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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.