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Finding the Fourth Proportional to 208,078.50, 287,117.52 and 126,364.25

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Solution

The fourth proportional to 208,078.50, 287,117.52 and 126,364.25 is: 174,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078.50 : 287,117.52 = 126,364.25 : x
  2. Step 2: Convert to fraction form
    208,078.50/287,117.52 = 126,364.25/x
  3. Step 3: Cross multiply
    208,078.50x = 287,117.52 × 126,364.25
  4. Step 4: Simplify right side
    208,078.50x = 36,281,388,641.07
  5. Step 5: Solve for x
    x = 36,281,388,641.07/208,078.50
  6. Step 6: Final answer
    x = 174,363.95

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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.