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Finding the Fourth Proportional to 208,222.78, 287,348.88 and 112,729.72

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Solution

The fourth proportional to 208,222.78, 287,348.88 and 112,729.72 is: 155,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,222.78 : 287,348.88 = 112,729.72 : x
  2. Step 2: Convert to fraction form
    208,222.78/287,348.88 = 112,729.72/x
  3. Step 3: Cross multiply
    208,222.78x = 287,348.88 × 112,729.72
  4. Step 4: Simplify right side
    208,222.78x = 32,392,758,784.71
  5. Step 5: Solve for x
    x = 32,392,758,784.71/208,222.78
  6. Step 6: Final answer
    x = 155,567.80

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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.