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Finding the Fourth Proportional to 212,071, 292,665.66 and 121,443.16

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Solution

The fourth proportional to 212,071, 292,665.66 and 121,443.16 is: 167,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,071 : 292,665.66 = 121,443.16 : x
  2. Step 2: Convert to fraction form
    212,071/292,665.66 = 121,443.16/x
  3. Step 3: Cross multiply
    212,071x = 292,665.66 × 121,443.16
  4. Step 4: Simplify right side
    212,071x = 35,542,242,573.89
  5. Step 5: Solve for x
    x = 35,542,242,573.89/212,071
  6. Step 6: Final answer
    x = 167,595.96

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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.