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Finding the Fourth Proportional to 208,200.96, 287,343.36 and 123,350.40

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Solution

The fourth proportional to 208,200.96, 287,343.36 and 123,350.40 is: 170,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,200.96 : 287,343.36 = 123,350.40 : x
  2. Step 2: Convert to fraction form
    208,200.96/287,343.36 = 123,350.40/x
  3. Step 3: Cross multiply
    208,200.96x = 287,343.36 × 123,350.40
  4. Step 4: Simplify right side
    208,200.96x = 35,443,918,393.34
  5. Step 5: Solve for x
    x = 35,443,918,393.34/208,200.96
  6. Step 6: Final answer
    x = 170,238.98

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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.