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Finding the Fourth Proportional to 78,215.87, 107,929.80 and 48,002.46

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Solution

The fourth proportional to 78,215.87, 107,929.80 and 48,002.46 is: 66,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,215.87 : 107,929.80 = 48,002.46 : x
  2. Step 2: Convert to fraction form
    78,215.87/107,929.80 = 48,002.46/x
  3. Step 3: Cross multiply
    78,215.87x = 107,929.80 × 48,002.46
  4. Step 4: Simplify right side
    78,215.87x = 5,180,895,907.31
  5. Step 5: Solve for x
    x = 5,180,895,907.31/78,215.87
  6. Step 6: Final answer
    x = 66,238.43

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1.5x scale

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.