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Finding the Fourth Proportional to 106,787, 147,363.62 and 59,040.74

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Solution

The fourth proportional to 106,787, 147,363.62 and 59,040.74 is: 81,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,787 : 147,363.62 = 59,040.74 : x
  2. Step 2: Convert to fraction form
    106,787/147,363.62 = 59,040.74/x
  3. Step 3: Cross multiply
    106,787x = 147,363.62 × 59,040.74
  4. Step 4: Simplify right side
    106,787x = 8,700,457,173.88
  5. Step 5: Solve for x
    x = 8,700,457,173.88/106,787
  6. Step 6: Final answer
    x = 81,474.87

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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.