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Finding the Fourth Proportional to 98,155.64, 135,460.20 and 57,893

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Solution

The fourth proportional to 98,155.64, 135,460.20 and 57,893 is: 79,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,155.64 : 135,460.20 = 57,893 : x
  2. Step 2: Convert to fraction form
    98,155.64/135,460.20 = 57,893/x
  3. Step 3: Cross multiply
    98,155.64x = 135,460.20 × 57,893
  4. Step 4: Simplify right side
    98,155.64x = 7,842,197,358.60
  5. Step 5: Solve for x
    x = 7,842,197,358.60/98,155.64
  6. Step 6: Final answer
    x = 79,895.53

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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.