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Finding the Fourth Proportional to 76,393.46, 105,422.96 and 42,859.46

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Solution

The fourth proportional to 76,393.46, 105,422.96 and 42,859.46 is: 59,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,393.46 : 105,422.96 = 42,859.46 : x
  2. Step 2: Convert to fraction form
    76,393.46/105,422.96 = 42,859.46/x
  3. Step 3: Cross multiply
    76,393.46x = 105,422.96 × 42,859.46
  4. Step 4: Simplify right side
    76,393.46x = 4,518,371,137.20
  5. Step 5: Solve for x
    x = 4,518,371,137.20/76,393.46
  6. Step 6: Final answer
    x = 59,146.05

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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.