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Finding the Fourth Proportional to 68,502.80, 102,851.40 and 42,258.80

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Solution

The fourth proportional to 68,502.80, 102,851.40 and 42,258.80 is: 63,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,502.80 : 102,851.40 = 42,258.80 : x
  2. Step 2: Convert to fraction form
    68,502.80/102,851.40 = 42,258.80/x
  3. Step 3: Cross multiply
    68,502.80x = 102,851.40 × 42,258.80
  4. Step 4: Simplify right side
    68,502.80x = 4,346,376,742.32
  5. Step 5: Solve for x
    x = 4,346,376,742.32/68,502.80
  6. Step 6: Final answer
    x = 63,448.16

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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.