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Finding the Fourth Proportional to 211,970.78, 318,002.88 and 117,339

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Solution

The fourth proportional to 211,970.78, 318,002.88 and 117,339 is: 176,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,970.78 : 318,002.88 = 117,339 : x
  2. Step 2: Convert to fraction form
    211,970.78/318,002.88 = 117,339/x
  3. Step 3: Cross multiply
    211,970.78x = 318,002.88 × 117,339
  4. Step 4: Simplify right side
    211,970.78x = 37,314,139,936.32
  5. Step 5: Solve for x
    x = 37,314,139,936.32/211,970.78
  6. Step 6: Final answer
    x = 176,034.36

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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.