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Finding the Fourth Proportional to 203,567.80, 280,925.26 and 112,929.70

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Solution

The fourth proportional to 203,567.80, 280,925.26 and 112,929.70 is: 155,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,567.80 : 280,925.26 = 112,929.70 : x
  2. Step 2: Convert to fraction form
    203,567.80/280,925.26 = 112,929.70/x
  3. Step 3: Cross multiply
    203,567.80x = 280,925.26 × 112,929.70
  4. Step 4: Simplify right side
    203,567.80x = 31,724,805,334.22
  5. Step 5: Solve for x
    x = 31,724,805,334.22/203,567.80
  6. Step 6: Final answer
    x = 155,843.93

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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.