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Finding the Fourth Proportional to 208,745.84, 288,219.05 and 128,281.25

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Solution

The fourth proportional to 208,745.84, 288,219.05 and 128,281.25 is: 177,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,745.84 : 288,219.05 = 128,281.25 : x
  2. Step 2: Convert to fraction form
    208,745.84/288,219.05 = 128,281.25/x
  3. Step 3: Cross multiply
    208,745.84x = 288,219.05 × 128,281.25
  4. Step 4: Simplify right side
    208,745.84x = 36,973,097,925.31
  5. Step 5: Solve for x
    x = 36,973,097,925.31/208,745.84
  6. Step 6: Final answer
    x = 177,120.17

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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.