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Finding the Fourth Proportional to 142,065.66, 213,118.74 and 47,264.61

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Solution

The fourth proportional to 142,065.66, 213,118.74 and 47,264.61 is: 70,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,065.66 : 213,118.74 = 47,264.61 : x
  2. Step 2: Convert to fraction form
    142,065.66/213,118.74 = 47,264.61/x
  3. Step 3: Cross multiply
    142,065.66x = 213,118.74 × 47,264.61
  4. Step 4: Simplify right side
    142,065.66x = 10,072,974,129.79
  5. Step 5: Solve for x
    x = 10,072,974,129.79/142,065.66
  6. Step 6: Final answer
    x = 70,903.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.