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Finding the Fourth Proportional to 102,851.84, 154,266.24 and 69,784.32

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Solution

The fourth proportional to 102,851.84, 154,266.24 and 69,784.32 is: 104,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,851.84 : 154,266.24 = 69,784.32 : x
  2. Step 2: Convert to fraction form
    102,851.84/154,266.24 = 69,784.32/x
  3. Step 3: Cross multiply
    102,851.84x = 154,266.24 × 69,784.32
  4. Step 4: Simplify right side
    102,851.84x = 10,765,364,657.36
  5. Step 5: Solve for x
    x = 10,765,364,657.36/102,851.84
  6. Step 6: Final answer
    x = 104,668.66

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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.