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Finding the Fourth Proportional to 98,097.32, 135,378.74 and 57,812.78

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Solution

The fourth proportional to 98,097.32, 135,378.74 and 57,812.78 is: 79,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,097.32 : 135,378.74 = 57,812.78 : x
  2. Step 2: Convert to fraction form
    98,097.32/135,378.74 = 57,812.78/x
  3. Step 3: Cross multiply
    98,097.32x = 135,378.74 × 57,812.78
  4. Step 4: Simplify right side
    98,097.32x = 7,826,620,346.34
  5. Step 5: Solve for x
    x = 7,826,620,346.34/98,097.32
  6. Step 6: Final answer
    x = 79,784.25

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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.