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Finding the Fourth Proportional to 151,913.82, 228,013.74 and 77,087.70

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Solution

The fourth proportional to 151,913.82, 228,013.74 and 77,087.70 is: 115,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,913.82 : 228,013.74 = 77,087.70 : x
  2. Step 2: Convert to fraction form
    151,913.82/228,013.74 = 77,087.70/x
  3. Step 3: Cross multiply
    151,913.82x = 228,013.74 × 77,087.70
  4. Step 4: Simplify right side
    151,913.82x = 17,577,054,785.00
  5. Step 5: Solve for x
    x = 17,577,054,785.00/151,913.82
  6. Step 6: Final answer
    x = 115,704.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.