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Finding the Fourth Proportional to 105,987.96, 146,202.48 and 66,174.84

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Solution

The fourth proportional to 105,987.96, 146,202.48 and 66,174.84 is: 91,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,987.96 : 146,202.48 = 66,174.84 : x
  2. Step 2: Convert to fraction form
    105,987.96/146,202.48 = 66,174.84/x
  3. Step 3: Cross multiply
    105,987.96x = 146,202.48 × 66,174.84
  4. Step 4: Simplify right side
    105,987.96x = 9,674,925,721.60
  5. Step 5: Solve for x
    x = 9,674,925,721.60/105,987.96
  6. Step 6: Final answer
    x = 91,283.25

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1.5x scale

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.