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Finding the Fourth Proportional to 106,089.75, 146,328.93 and 90,063.90

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Solution

The fourth proportional to 106,089.75, 146,328.93 and 90,063.90 is: 124,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,089.75 : 146,328.93 = 90,063.90 : x
  2. Step 2: Convert to fraction form
    106,089.75/146,328.93 = 90,063.90/x
  3. Step 3: Cross multiply
    106,089.75x = 146,328.93 × 90,063.90
  4. Step 4: Simplify right side
    106,089.75x = 13,178,954,118.63
  5. Step 5: Solve for x
    x = 13,178,954,118.63/106,089.75
  6. Step 6: Final answer
    x = 124,224.58

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Why These Related Problems?

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