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Finding the Fourth Proportional to 211,762.68, 317,767.94 and 78,734.76

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Solution

The fourth proportional to 211,762.68, 317,767.94 and 78,734.76 is: 118,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,762.68 : 317,767.94 = 78,734.76 : x
  2. Step 2: Convert to fraction form
    211,762.68/317,767.94 = 78,734.76/x
  3. Step 3: Cross multiply
    211,762.68x = 317,767.94 × 78,734.76
  4. Step 4: Simplify right side
    211,762.68x = 25,019,381,099.59
  5. Step 5: Solve for x
    x = 25,019,381,099.59/211,762.68
  6. Step 6: Final answer
    x = 118,148.21

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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.