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Finding the Fourth Proportional to 98,340, 135,709.24 and 55,898.52

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Solution

The fourth proportional to 98,340, 135,709.24 and 55,898.52 is: 77,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,340 : 135,709.24 = 55,898.52 : x
  2. Step 2: Convert to fraction form
    98,340/135,709.24 = 55,898.52/x
  3. Step 3: Cross multiply
    98,340x = 135,709.24 × 55,898.52
  4. Step 4: Simplify right side
    98,340x = 7,585,945,666.32
  5. Step 5: Solve for x
    x = 7,585,945,666.32/98,340
  6. Step 6: Final answer
    x = 77,139.98

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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.