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Finding the Fourth Proportional to 78,509.34, 108,359.64 and 48,294.72

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Solution

The fourth proportional to 78,509.34, 108,359.64 and 48,294.72 is: 66,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.34 : 108,359.64 = 48,294.72 : x
  2. Step 2: Convert to fraction form
    78,509.34/108,359.64 = 48,294.72/x
  3. Step 3: Cross multiply
    78,509.34x = 108,359.64 × 48,294.72
  4. Step 4: Simplify right side
    78,509.34x = 5,233,198,473.10
  5. Step 5: Solve for x
    x = 5,233,198,473.10/78,509.34
  6. Step 6: Final answer
    x = 66,657.02

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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.