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Finding the Fourth Proportional to 68,538.30, 102,904.65 and 42,294.30

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Solution

The fourth proportional to 68,538.30, 102,904.65 and 42,294.30 is: 63,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538.30 : 102,904.65 = 42,294.30 : x
  2. Step 2: Convert to fraction form
    68,538.30/102,904.65 = 42,294.30/x
  3. Step 3: Cross multiply
    68,538.30x = 102,904.65 × 42,294.30
  4. Step 4: Simplify right side
    68,538.30x = 4,352,280,138.50
  5. Step 5: Solve for x
    x = 4,352,280,138.50/68,538.30
  6. Step 6: Final answer
    x = 63,501.43

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1.5x scale

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.