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Finding the Fourth Proportional to 166,214.51, 249,149.32 and 77,394.97

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Solution

The fourth proportional to 166,214.51, 249,149.32 and 77,394.97 is: 116,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,214.51 : 249,149.32 = 77,394.97 : x
  2. Step 2: Convert to fraction form
    166,214.51/249,149.32 = 77,394.97/x
  3. Step 3: Cross multiply
    166,214.51x = 249,149.32 × 77,394.97
  4. Step 4: Simplify right side
    166,214.51x = 19,282,904,146.92
  5. Step 5: Solve for x
    x = 19,282,904,146.92/166,214.51
  6. Step 6: Final answer
    x = 116,012.16

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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.