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Finding the Fourth Proportional to 166,504.66, 249,793.89 and 77,709.72

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Solution

The fourth proportional to 166,504.66, 249,793.89 and 77,709.72 is: 116,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,504.66 : 249,793.89 = 77,709.72 : x
  2. Step 2: Convert to fraction form
    166,504.66/249,793.89 = 77,709.72/x
  3. Step 3: Cross multiply
    166,504.66x = 249,793.89 × 77,709.72
  4. Step 4: Simplify right side
    166,504.66x = 19,411,413,249.61
  5. Step 5: Solve for x
    x = 19,411,413,249.61/166,504.66
  6. Step 6: Final answer
    x = 116,581.80

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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.