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Finding the Fourth Proportional to 77,665.59, 116,542.64 and 30,274.52

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Solution

The fourth proportional to 77,665.59, 116,542.64 and 30,274.52 is: 45,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,665.59 : 116,542.64 = 30,274.52 : x
  2. Step 2: Convert to fraction form
    77,665.59/116,542.64 = 30,274.52/x
  3. Step 3: Cross multiply
    77,665.59x = 116,542.64 × 30,274.52
  4. Step 4: Simplify right side
    77,665.59x = 3,528,272,485.53
  5. Step 5: Solve for x
    x = 3,528,272,485.53/77,665.59
  6. Step 6: Final answer
    x = 45,429.03

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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.