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Finding the Fourth Proportional to 208,222.71, 287,347.44 and 112,729.41

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Solution

The fourth proportional to 208,222.71, 287,347.44 and 112,729.41 is: 155,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,222.71 : 287,347.44 = 112,729.41 : x
  2. Step 2: Convert to fraction form
    208,222.71/287,347.44 = 112,729.41/x
  3. Step 3: Cross multiply
    208,222.71x = 287,347.44 × 112,729.41
  4. Step 4: Simplify right side
    208,222.71x = 32,392,507,376.21
  5. Step 5: Solve for x
    x = 32,392,507,376.21/208,222.71
  6. Step 6: Final answer
    x = 155,566.64

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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.