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Finding the Fourth Proportional to 208,221.71, 287,346.06 and 112,728.41

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Solution

The fourth proportional to 208,221.71, 287,346.06 and 112,728.41 is: 155,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,221.71 : 287,346.06 = 112,728.41 : x
  2. Step 2: Convert to fraction form
    208,221.71/287,346.06 = 112,728.41/x
  3. Step 3: Cross multiply
    208,221.71x = 287,346.06 × 112,728.41
  4. Step 4: Simplify right side
    208,221.71x = 32,392,064,463.56
  5. Step 5: Solve for x
    x = 32,392,064,463.56/208,221.71
  6. Step 6: Final answer
    x = 155,565.26

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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.