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Finding the Fourth Proportional to 211,506, 291,878.28 and 122,082

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Solution

The fourth proportional to 211,506, 291,878.28 and 122,082 is: 168,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,506 : 291,878.28 = 122,082 : x
  2. Step 2: Convert to fraction form
    211,506/291,878.28 = 122,082/x
  3. Step 3: Cross multiply
    211,506x = 291,878.28 × 122,082
  4. Step 4: Simplify right side
    211,506x = 35,633,084,178.96
  5. Step 5: Solve for x
    x = 35,633,084,178.96/211,506
  6. Step 6: Final answer
    x = 168,473.16

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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.