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Finding the Fourth Proportional to 77,673.24, 116,509.68 and 30,915

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Solution

The fourth proportional to 77,673.24, 116,509.68 and 30,915 is: 46,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,673.24 : 116,509.68 = 30,915 : x
  2. Step 2: Convert to fraction form
    77,673.24/116,509.68 = 30,915/x
  3. Step 3: Cross multiply
    77,673.24x = 116,509.68 × 30,915
  4. Step 4: Simplify right side
    77,673.24x = 3,601,896,757.20
  5. Step 5: Solve for x
    x = 3,601,896,757.20/77,673.24
  6. Step 6: Final answer
    x = 46,372.43

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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.