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Finding the Fourth Proportional to 103,448.56, 142,597.20 and 86,509.12

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Solution

The fourth proportional to 103,448.56, 142,597.20 and 86,509.12 is: 119,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,448.56 : 142,597.20 = 86,509.12 : x
  2. Step 2: Convert to fraction form
    103,448.56/142,597.20 = 86,509.12/x
  3. Step 3: Cross multiply
    103,448.56x = 142,597.20 × 86,509.12
  4. Step 4: Simplify right side
    103,448.56x = 12,335,958,286.46
  5. Step 5: Solve for x
    x = 12,335,958,286.46/103,448.56
  6. Step 6: Final answer
    x = 119,247.27

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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.