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Finding the Fourth Proportional to 77,580.74, 116,370.94 and 20,654.66

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Solution

The fourth proportional to 77,580.74, 116,370.94 and 20,654.66 is: 30,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580.74 : 116,370.94 = 20,654.66 : x
  2. Step 2: Convert to fraction form
    77,580.74/116,370.94 = 20,654.66/x
  3. Step 3: Cross multiply
    77,580.74x = 116,370.94 × 20,654.66
  4. Step 4: Simplify right side
    77,580.74x = 2,403,602,096.31
  5. Step 5: Solve for x
    x = 2,403,602,096.31/77,580.74
  6. Step 6: Final answer
    x = 30,981.94

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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.