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Finding the Fourth Proportional to 211,973.78, 318,007.38 and 117,342

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Solution

The fourth proportional to 211,973.78, 318,007.38 and 117,342 is: 176,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,973.78 : 318,007.38 = 117,342 : x
  2. Step 2: Convert to fraction form
    211,973.78/318,007.38 = 117,342/x
  3. Step 3: Cross multiply
    211,973.78x = 318,007.38 × 117,342
  4. Step 4: Simplify right side
    211,973.78x = 37,315,621,983.96
  5. Step 5: Solve for x
    x = 37,315,621,983.96/211,973.78
  6. Step 6: Final answer
    x = 176,038.86

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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.