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Finding the Fourth Proportional to 65,696.74, 98,459.40 and 30,145.22

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Solution

The fourth proportional to 65,696.74, 98,459.40 and 30,145.22 is: 45,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,696.74 : 98,459.40 = 30,145.22 : x
  2. Step 2: Convert to fraction form
    65,696.74/98,459.40 = 30,145.22/x
  3. Step 3: Cross multiply
    65,696.74x = 98,459.40 × 30,145.22
  4. Step 4: Simplify right side
    65,696.74x = 2,968,080,274.07
  5. Step 5: Solve for x
    x = 2,968,080,274.07/65,696.74
  6. Step 6: Final answer
    x = 45,178.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.