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Finding the Fourth Proportional to 218,870.20, 302,040.78 and 118,268.20

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Solution

The fourth proportional to 218,870.20, 302,040.78 and 118,268.20 is: 163,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,870.20 : 302,040.78 = 118,268.20 : x
  2. Step 2: Convert to fraction form
    218,870.20/302,040.78 = 118,268.20/x
  3. Step 3: Cross multiply
    218,870.20x = 302,040.78 × 118,268.20
  4. Step 4: Simplify right side
    218,870.20x = 35,721,819,377.20
  5. Step 5: Solve for x
    x = 35,721,819,377.20/218,870.20
  6. Step 6: Final answer
    x = 163,210.06

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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.