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Finding the Fourth Proportional to 177,730.31, 266,359.67 and 77,781.67

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Solution

The fourth proportional to 177,730.31, 266,359.67 and 77,781.67 is: 116,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,730.31 : 266,359.67 = 77,781.67 : x
  2. Step 2: Convert to fraction form
    177,730.31/266,359.67 = 77,781.67/x
  3. Step 3: Cross multiply
    177,730.31x = 266,359.67 × 77,781.67
  4. Step 4: Simplify right side
    177,730.31x = 20,717,899,564.34
  5. Step 5: Solve for x
    x = 20,717,899,564.34/177,730.31
  6. Step 6: Final answer
    x = 116,569.31

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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.