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Finding the Fourth Proportional to 208,274.84, 287,420.64 and 112,781.56

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Solution

The fourth proportional to 208,274.84, 287,420.64 and 112,781.56 is: 155,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,274.84 : 287,420.64 = 112,781.56 : x
  2. Step 2: Convert to fraction form
    208,274.84/287,420.64 = 112,781.56/x
  3. Step 3: Cross multiply
    208,274.84x = 287,420.64 × 112,781.56
  4. Step 4: Simplify right side
    208,274.84x = 32,415,748,155.40
  5. Step 5: Solve for x
    x = 32,415,748,155.40/208,274.84
  6. Step 6: Final answer
    x = 155,639.29

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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.