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Finding the Fourth Proportional to 209,657.51, 314,536.54 and 67,516.18

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Solution

The fourth proportional to 209,657.51, 314,536.54 and 67,516.18 is: 101,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,657.51 : 314,536.54 = 67,516.18 : x
  2. Step 2: Convert to fraction form
    209,657.51/314,536.54 = 67,516.18/x
  3. Step 3: Cross multiply
    209,657.51x = 314,536.54 × 67,516.18
  4. Step 4: Simplify right side
    209,657.51x = 21,236,306,781.84
  5. Step 5: Solve for x
    x = 21,236,306,781.84/209,657.51
  6. Step 6: Final answer
    x = 101,290.46

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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.