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Finding the Fourth Proportional to 97,790, 134,950.32 and 53,078

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Solution

The fourth proportional to 97,790, 134,950.32 and 53,078 is: 73,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,790 : 134,950.32 = 53,078 : x
  2. Step 2: Convert to fraction form
    97,790/134,950.32 = 53,078/x
  3. Step 3: Cross multiply
    97,790x = 134,950.32 × 53,078
  4. Step 4: Simplify right side
    97,790x = 7,162,893,084.96
  5. Step 5: Solve for x
    x = 7,162,893,084.96/97,790
  6. Step 6: Final answer
    x = 73,247.71

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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.