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Finding the Fourth Proportional to 208,220.13, 287,345.79 and 112,728.87

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Solution

The fourth proportional to 208,220.13, 287,345.79 and 112,728.87 is: 155,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,220.13 : 287,345.79 = 112,728.87 : x
  2. Step 2: Convert to fraction form
    208,220.13/287,345.79 = 112,728.87/x
  3. Step 3: Cross multiply
    208,220.13x = 287,345.79 × 112,728.87
  4. Step 4: Simplify right side
    208,220.13x = 32,392,166,205.96
  5. Step 5: Solve for x
    x = 32,392,166,205.96/208,220.13
  6. Step 6: Final answer
    x = 155,566.93

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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.