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Finding the Fourth Proportional to 78,460.85, 108,285.05 and 46,629.47

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Solution

The fourth proportional to 78,460.85, 108,285.05 and 46,629.47 is: 64,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,460.85 : 108,285.05 = 46,629.47 : x
  2. Step 2: Convert to fraction form
    78,460.85/108,285.05 = 46,629.47/x
  3. Step 3: Cross multiply
    78,460.85x = 108,285.05 × 46,629.47
  4. Step 4: Simplify right side
    78,460.85x = 5,049,274,490.42
  5. Step 5: Solve for x
    x = 5,049,274,490.42/78,460.85
  6. Step 6: Final answer
    x = 64,354.06

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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.