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Finding the Fourth Proportional to 212,185.82, 292,820 and 121,549.71

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Solution

The fourth proportional to 212,185.82, 292,820 and 121,549.71 is: 167,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,185.82 : 292,820 = 121,549.71 : x
  2. Step 2: Convert to fraction form
    212,185.82/292,820 = 121,549.71/x
  3. Step 3: Cross multiply
    212,185.82x = 292,820 × 121,549.71
  4. Step 4: Simplify right side
    212,185.82x = 35,592,186,082.20
  5. Step 5: Solve for x
    x = 35,592,186,082.20/212,185.82
  6. Step 6: Final answer
    x = 167,740.64

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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.