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Finding the Fourth Proportional to 153,715.09, 212,128.02 and 85,736.38

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Solution

The fourth proportional to 153,715.09, 212,128.02 and 85,736.38 is: 118,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,715.09 : 212,128.02 = 85,736.38 : x
  2. Step 2: Convert to fraction form
    153,715.09/212,128.02 = 85,736.38/x
  3. Step 3: Cross multiply
    153,715.09x = 212,128.02 × 85,736.38
  4. Step 4: Simplify right side
    153,715.09x = 18,187,088,531.37
  5. Step 5: Solve for x
    x = 18,187,088,531.37/153,715.09
  6. Step 6: Final answer
    x = 118,316.87

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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.