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Finding the Fourth Proportional to 208,298.16, 287,451.72 and 112,805.64

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Solution

The fourth proportional to 208,298.16, 287,451.72 and 112,805.64 is: 155,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,298.16 : 287,451.72 = 112,805.64 : x
  2. Step 2: Convert to fraction form
    208,298.16/287,451.72 = 112,805.64/x
  3. Step 3: Cross multiply
    208,298.16x = 287,451.72 × 112,805.64
  4. Step 4: Simplify right side
    208,298.16x = 32,426,175,243.70
  5. Step 5: Solve for x
    x = 32,426,175,243.70/208,298.16
  6. Step 6: Final answer
    x = 155,671.92

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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.