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Finding the Fourth Proportional to 207,896, 286,897.28 and 116,019.20

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Solution

The fourth proportional to 207,896, 286,897.28 and 116,019.20 is: 160,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,896 : 286,897.28 = 116,019.20 : x
  2. Step 2: Convert to fraction form
    207,896/286,897.28 = 116,019.20/x
  3. Step 3: Cross multiply
    207,896x = 286,897.28 × 116,019.20
  4. Step 4: Simplify right side
    207,896x = 33,285,592,907.78
  5. Step 5: Solve for x
    x = 33,285,592,907.78/207,896
  6. Step 6: Final answer
    x = 160,106.94

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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.