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Finding the Fourth Proportional to 189,537.39, 284,307.01 and 77,218.70

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Solution

The fourth proportional to 189,537.39, 284,307.01 and 77,218.70 is: 115,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,537.39 : 284,307.01 = 77,218.70 : x
  2. Step 2: Convert to fraction form
    189,537.39/284,307.01 = 77,218.70/x
  3. Step 3: Cross multiply
    189,537.39x = 284,307.01 × 77,218.70
  4. Step 4: Simplify right side
    189,537.39x = 21,953,816,098.51
  5. Step 5: Solve for x
    x = 21,953,816,098.51/189,537.39
  6. Step 6: Final answer
    x = 115,828.42

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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.