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Finding the Fourth Proportional to 211,385.16, 317,119.32 and 78,266.64

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Solution

The fourth proportional to 211,385.16, 317,119.32 and 78,266.64 is: 117,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,385.16 : 317,119.32 = 78,266.64 : x
  2. Step 2: Convert to fraction form
    211,385.16/317,119.32 = 78,266.64/x
  3. Step 3: Cross multiply
    211,385.16x = 317,119.32 × 78,266.64
  4. Step 4: Simplify right side
    211,385.16x = 24,819,863,655.48
  5. Step 5: Solve for x
    x = 24,819,863,655.48/211,385.16
  6. Step 6: Final answer
    x = 117,415.36

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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.