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Finding the Fourth Proportional to 211,496, 291,864.48 and 117,288

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Solution

The fourth proportional to 211,496, 291,864.48 and 117,288 is: 161,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,496 : 291,864.48 = 117,288 : x
  2. Step 2: Convert to fraction form
    211,496/291,864.48 = 117,288/x
  3. Step 3: Cross multiply
    211,496x = 291,864.48 × 117,288
  4. Step 4: Simplify right side
    211,496x = 34,232,201,130.24
  5. Step 5: Solve for x
    x = 34,232,201,130.24/211,496
  6. Step 6: Final answer
    x = 161,857.44

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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.