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Finding the Fourth Proportional to 208,163.79, 287,262.86 and 116,284.28

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Solution

The fourth proportional to 208,163.79, 287,262.86 and 116,284.28 is: 160,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,163.79 : 287,262.86 = 116,284.28 : x
  2. Step 2: Convert to fraction form
    208,163.79/287,262.86 = 116,284.28/x
  3. Step 3: Cross multiply
    208,163.79x = 287,262.86 × 116,284.28
  4. Step 4: Simplify right side
    208,163.79x = 33,404,152,828.11
  5. Step 5: Solve for x
    x = 33,404,152,828.11/208,163.79
  6. Step 6: Final answer
    x = 160,470.53

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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.