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Finding the Fourth Proportional to 208,090.19, 287,164.98 and 112,597.88

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Solution

The fourth proportional to 208,090.19, 287,164.98 and 112,597.88 is: 155,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,090.19 : 287,164.98 = 112,597.88 : x
  2. Step 2: Convert to fraction form
    208,090.19/287,164.98 = 112,597.88/x
  3. Step 3: Cross multiply
    208,090.19x = 287,164.98 × 112,597.88
  4. Step 4: Simplify right side
    208,090.19x = 32,334,167,958.24
  5. Step 5: Solve for x
    x = 32,334,167,958.24/208,090.19
  6. Step 6: Final answer
    x = 155,385.35

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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.