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Finding the Fourth Proportional to 66,509.34, 99,707.83 and 30,952.31

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Solution

The fourth proportional to 66,509.34, 99,707.83 and 30,952.31 is: 46,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,509.34 : 99,707.83 = 30,952.31 : x
  2. Step 2: Convert to fraction form
    66,509.34/99,707.83 = 30,952.31/x
  3. Step 3: Cross multiply
    66,509.34x = 99,707.83 × 30,952.31
  4. Step 4: Simplify right side
    66,509.34x = 3,086,187,835.48
  5. Step 5: Solve for x
    x = 3,086,187,835.48/66,509.34
  6. Step 6: Final answer
    x = 46,402.32

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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.