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Finding the Fourth Proportional to 97,470.72, 134,511.84 and 55,029.60

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Solution

The fourth proportional to 97,470.72, 134,511.84 and 55,029.60 is: 75,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,470.72 : 134,511.84 = 55,029.60 : x
  2. Step 2: Convert to fraction form
    97,470.72/134,511.84 = 55,029.60/x
  3. Step 3: Cross multiply
    97,470.72x = 134,511.84 × 55,029.60
  4. Step 4: Simplify right side
    97,470.72x = 7,402,132,750.46
  5. Step 5: Solve for x
    x = 7,402,132,750.46/97,470.72
  6. Step 6: Final answer
    x = 75,942.12

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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.