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Finding the Fourth Proportional to 206,775.81, 285,459.02 and 139,148.37

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Solution

The fourth proportional to 206,775.81, 285,459.02 and 139,148.37 is: 192,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,775.81 : 285,459.02 = 139,148.37 : x
  2. Step 2: Convert to fraction form
    206,775.81/285,459.02 = 139,148.37/x
  3. Step 3: Cross multiply
    206,775.81x = 285,459.02 × 139,148.37
  4. Step 4: Simplify right side
    206,775.81x = 39,721,156,639.06
  5. Step 5: Solve for x
    x = 39,721,156,639.06/206,775.81
  6. Step 6: Final answer
    x = 192,097.70

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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.