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Finding the Fourth Proportional to 211,047.84, 316,569.12 and 84,744

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Solution

The fourth proportional to 211,047.84, 316,569.12 and 84,744 is: 127,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,047.84 : 316,569.12 = 84,744 : x
  2. Step 2: Convert to fraction form
    211,047.84/316,569.12 = 84,744/x
  3. Step 3: Cross multiply
    211,047.84x = 316,569.12 × 84,744
  4. Step 4: Simplify right side
    211,047.84x = 26,827,333,505.28
  5. Step 5: Solve for x
    x = 26,827,333,505.28/211,047.84
  6. Step 6: Final answer
    x = 127,114.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.