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Finding the Fourth Proportional to 77,730.48, 116,603.01 and 30,987

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Solution

The fourth proportional to 77,730.48, 116,603.01 and 30,987 is: 46,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,730.48 : 116,603.01 = 30,987 : x
  2. Step 2: Convert to fraction form
    77,730.48/116,603.01 = 30,987/x
  3. Step 3: Cross multiply
    77,730.48x = 116,603.01 × 30,987
  4. Step 4: Simplify right side
    77,730.48x = 3,613,177,470.87
  5. Step 5: Solve for x
    x = 3,613,177,470.87/77,730.48
  6. Step 6: Final answer
    x = 46,483.41

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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.