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Finding the Fourth Proportional to 152,397.76, 228,736.97 and 77,571.38

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Solution

The fourth proportional to 152,397.76, 228,736.97 and 77,571.38 is: 116,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,397.76 : 228,736.97 = 77,571.38 : x
  2. Step 2: Convert to fraction form
    152,397.76/228,736.97 = 77,571.38/x
  3. Step 3: Cross multiply
    152,397.76x = 228,736.97 × 77,571.38
  4. Step 4: Simplify right side
    152,397.76x = 17,743,441,276.23
  5. Step 5: Solve for x
    x = 17,743,441,276.23/152,397.76
  6. Step 6: Final answer
    x = 116,428.49

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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.