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Finding the Fourth Proportional to 213,808.42, 295,061.73 and 118,324

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Solution

The fourth proportional to 213,808.42, 295,061.73 and 118,324 is: 163,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,808.42 : 295,061.73 = 118,324 : x
  2. Step 2: Convert to fraction form
    213,808.42/295,061.73 = 118,324/x
  3. Step 3: Cross multiply
    213,808.42x = 295,061.73 × 118,324
  4. Step 4: Simplify right side
    213,808.42x = 34,912,884,140.52
  5. Step 5: Solve for x
    x = 34,912,884,140.52/213,808.42
  6. Step 6: Final answer
    x = 163,290.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.