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Finding the Fourth Proportional to 218,967.30, 302,174.96 and 118,365.30

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Solution

The fourth proportional to 218,967.30, 302,174.96 and 118,365.30 is: 163,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,967.30 : 302,174.96 = 118,365.30 : x
  2. Step 2: Convert to fraction form
    218,967.30/302,174.96 = 118,365.30/x
  3. Step 3: Cross multiply
    218,967.30x = 302,174.96 × 118,365.30
  4. Step 4: Simplify right side
    218,967.30x = 35,767,029,201.06
  5. Step 5: Solve for x
    x = 35,767,029,201.06/218,967.30
  6. Step 6: Final answer
    x = 163,344.16

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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.