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Finding the Fourth Proportional to 208,222.80, 287,347.14 and 112,729.47

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Solution

The fourth proportional to 208,222.80, 287,347.14 and 112,729.47 is: 155,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,222.80 : 287,347.14 = 112,729.47 : x
  2. Step 2: Convert to fraction form
    208,222.80/287,347.14 = 112,729.47/x
  3. Step 3: Cross multiply
    208,222.80x = 287,347.14 × 112,729.47
  4. Step 4: Simplify right side
    208,222.80x = 32,392,490,798.22
  5. Step 5: Solve for x
    x = 32,392,490,798.22/208,222.80
  6. Step 6: Final answer
    x = 155,566.49

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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.