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Finding the Fourth Proportional to 98,071.56, 135,351 and 55,643.76

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Solution

The fourth proportional to 98,071.56, 135,351 and 55,643.76 is: 76,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,071.56 : 135,351 = 55,643.76 : x
  2. Step 2: Convert to fraction form
    98,071.56/135,351 = 55,643.76/x
  3. Step 3: Cross multiply
    98,071.56x = 135,351 × 55,643.76
  4. Step 4: Simplify right side
    98,071.56x = 7,531,438,559.76
  5. Step 5: Solve for x
    x = 7,531,438,559.76/98,071.56
  6. Step 6: Final answer
    x = 76,795.34

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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.