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Finding the Fourth Proportional to 98,257.42, 135,600.78 and 55,824.76

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Solution

The fourth proportional to 98,257.42, 135,600.78 and 55,824.76 is: 77,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,257.42 : 135,600.78 = 55,824.76 : x
  2. Step 2: Convert to fraction form
    98,257.42/135,600.78 = 55,824.76/x
  3. Step 3: Cross multiply
    98,257.42x = 135,600.78 × 55,824.76
  4. Step 4: Simplify right side
    98,257.42x = 7,569,880,999.31
  5. Step 5: Solve for x
    x = 7,569,880,999.31/98,257.42
  6. Step 6: Final answer
    x = 77,041.32

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1.5x scale

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.