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Finding the Fourth Proportional to 218,987.58, 302,193.68 and 123,503.16

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Solution

The fourth proportional to 218,987.58, 302,193.68 and 123,503.16 is: 170,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,987.58 : 302,193.68 = 123,503.16 : x
  2. Step 2: Convert to fraction form
    218,987.58/302,193.68 = 123,503.16/x
  3. Step 3: Cross multiply
    218,987.58x = 302,193.68 × 123,503.16
  4. Step 4: Simplify right side
    218,987.58x = 37,321,873,794.51
  5. Step 5: Solve for x
    x = 37,321,873,794.51/218,987.58
  6. Step 6: Final answer
    x = 170,429.18

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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.