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Finding the Fourth Proportional to 208,164.79, 287,264.23 and 116,285.28

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Solution

The fourth proportional to 208,164.79, 287,264.23 and 116,285.28 is: 160,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,164.79 : 287,264.23 = 116,285.28 : x
  2. Step 2: Convert to fraction form
    208,164.79/287,264.23 = 116,285.28/x
  3. Step 3: Cross multiply
    208,164.79x = 287,264.23 × 116,285.28
  4. Step 4: Simplify right side
    208,164.79x = 33,404,601,419.53
  5. Step 5: Solve for x
    x = 33,404,601,419.53/208,164.79
  6. Step 6: Final answer
    x = 160,471.91

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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.