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Finding the Fourth Proportional to 212,076, 292,658.64 and 121,428.96

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Solution

The fourth proportional to 212,076, 292,658.64 and 121,428.96 is: 167,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,076 : 292,658.64 = 121,428.96 : x
  2. Step 2: Convert to fraction form
    212,076/292,658.64 = 121,428.96/x
  3. Step 3: Cross multiply
    212,076x = 292,658.64 × 121,428.96
  4. Step 4: Simplify right side
    212,076x = 35,537,234,290.21
  5. Step 5: Solve for x
    x = 35,537,234,290.21/212,076
  6. Step 6: Final answer
    x = 167,568.39

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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.