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Finding the Fourth Proportional to 97,570.84, 134,650.42 and 55,128.52

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Solution

The fourth proportional to 97,570.84, 134,650.42 and 55,128.52 is: 76,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,570.84 : 134,650.42 = 55,128.52 : x
  2. Step 2: Convert to fraction form
    97,570.84/134,650.42 = 55,128.52/x
  3. Step 3: Cross multiply
    97,570.84x = 134,650.42 × 55,128.52
  4. Step 4: Simplify right side
    97,570.84x = 7,423,078,371.98
  5. Step 5: Solve for x
    x = 7,423,078,371.98/97,570.84
  6. Step 6: Final answer
    x = 76,078.86

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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.