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Finding the Fourth Proportional to 103,527.25, 142,866.75 and 65,311.48

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Solution

The fourth proportional to 103,527.25, 142,866.75 and 65,311.48 is: 90,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,527.25 : 142,866.75 = 65,311.48 : x
  2. Step 2: Convert to fraction form
    103,527.25/142,866.75 = 65,311.48/x
  3. Step 3: Cross multiply
    103,527.25x = 142,866.75 × 65,311.48
  4. Step 4: Simplify right side
    103,527.25x = 9,330,839,308.79
  5. Step 5: Solve for x
    x = 9,330,839,308.79/103,527.25
  6. Step 6: Final answer
    x = 90,129.31

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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.