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Finding the Fourth Proportional to 209,518.64, 314,276.28 and 138,758

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Solution

The fourth proportional to 209,518.64, 314,276.28 and 138,758 is: 208,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,518.64 : 314,276.28 = 138,758 : x
  2. Step 2: Convert to fraction form
    209,518.64/314,276.28 = 138,758/x
  3. Step 3: Cross multiply
    209,518.64x = 314,276.28 × 138,758
  4. Step 4: Simplify right side
    209,518.64x = 43,608,348,060.24
  5. Step 5: Solve for x
    x = 43,608,348,060.24/209,518.64
  6. Step 6: Final answer
    x = 208,135.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.