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Finding the Fourth Proportional to 78,470.94, 108,293.85 and 48,257.94

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Solution

The fourth proportional to 78,470.94, 108,293.85 and 48,257.94 is: 66,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470.94 : 108,293.85 = 48,257.94 : x
  2. Step 2: Convert to fraction form
    78,470.94/108,293.85 = 48,257.94/x
  3. Step 3: Cross multiply
    78,470.94x = 108,293.85 × 48,257.94
  4. Step 4: Simplify right side
    78,470.94x = 5,226,038,115.67
  5. Step 5: Solve for x
    x = 5,226,038,115.67/78,470.94
  6. Step 6: Final answer
    x = 66,598.39

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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.