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Finding the Fourth Proportional to 209,357.16, 288,965.82 and 118,767.12

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Solution

The fourth proportional to 209,357.16, 288,965.82 and 118,767.12 is: 163,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,357.16 : 288,965.82 = 118,767.12 : x
  2. Step 2: Convert to fraction form
    209,357.16/288,965.82 = 118,767.12/x
  3. Step 3: Cross multiply
    209,357.16x = 288,965.82 × 118,767.12
  4. Step 4: Simplify right side
    209,357.16x = 34,319,638,219.84
  5. Step 5: Solve for x
    x = 34,319,638,219.84/209,357.16
  6. Step 6: Final answer
    x = 163,928.66

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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.