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Finding the Fourth Proportional to 208,900.80, 288,319.92 and 118,261.92

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Solution

The fourth proportional to 208,900.80, 288,319.92 and 118,261.92 is: 163,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,900.80 : 288,319.92 = 118,261.92 : x
  2. Step 2: Convert to fraction form
    208,900.80/288,319.92 = 118,261.92/x
  3. Step 3: Cross multiply
    208,900.80x = 288,319.92 × 118,261.92
  4. Step 4: Simplify right side
    208,900.80x = 34,097,267,313.45
  5. Step 5: Solve for x
    x = 34,097,267,313.45/208,900.80
  6. Step 6: Final answer
    x = 163,222.29

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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.