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Finding the Fourth Proportional to 106,126.32, 146,416.68 and 65,798.40

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Solution

The fourth proportional to 106,126.32, 146,416.68 and 65,798.40 is: 90,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,126.32 : 146,416.68 = 65,798.40 : x
  2. Step 2: Convert to fraction form
    106,126.32/146,416.68 = 65,798.40/x
  3. Step 3: Cross multiply
    106,126.32x = 146,416.68 × 65,798.40
  4. Step 4: Simplify right side
    106,126.32x = 9,633,983,277.31
  5. Step 5: Solve for x
    x = 9,633,983,277.31/106,126.32
  6. Step 6: Final answer
    x = 90,778.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.