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Finding the Fourth Proportional to 208,342.76, 287,513.02 and 112,849.49

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Solution

The fourth proportional to 208,342.76, 287,513.02 and 112,849.49 is: 155,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,342.76 : 287,513.02 = 112,849.49 : x
  2. Step 2: Convert to fraction form
    208,342.76/287,513.02 = 112,849.49/x
  3. Step 3: Cross multiply
    208,342.76x = 287,513.02 × 112,849.49
  4. Step 4: Simplify right side
    208,342.76x = 32,445,697,675.36
  5. Step 5: Solve for x
    x = 32,445,697,675.36/208,342.76
  6. Step 6: Final answer
    x = 155,732.30

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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.