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Finding the Fourth Proportional to 98,386.34, 135,772.51 and 55,944.87

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Solution

The fourth proportional to 98,386.34, 135,772.51 and 55,944.87 is: 77,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,386.34 : 135,772.51 = 55,944.87 : x
  2. Step 2: Convert to fraction form
    98,386.34/135,772.51 = 55,944.87/x
  3. Step 3: Cross multiply
    98,386.34x = 135,772.51 × 55,944.87
  4. Step 4: Simplify right side
    98,386.34x = 7,595,775,421.52
  5. Step 5: Solve for x
    x = 7,595,775,421.52/98,386.34
  6. Step 6: Final answer
    x = 77,203.56

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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.