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Finding the Fourth Proportional to 208,218.21, 287,341.23 and 112,724.91

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Solution

The fourth proportional to 208,218.21, 287,341.23 and 112,724.91 is: 155,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,218.21 : 287,341.23 = 112,724.91 : x
  2. Step 2: Convert to fraction form
    208,218.21/287,341.23 = 112,724.91/x
  3. Step 3: Cross multiply
    208,218.21x = 287,341.23 × 112,724.91
  4. Step 4: Simplify right side
    208,218.21x = 32,390,514,291.04
  5. Step 5: Solve for x
    x = 32,390,514,291.04/208,218.21
  6. Step 6: Final answer
    x = 155,560.43

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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.