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Finding the Fourth Proportional to 189,483.36, 284,324.67 and 77,246.52

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Solution

The fourth proportional to 189,483.36, 284,324.67 and 77,246.52 is: 115,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,483.36 : 284,324.67 = 77,246.52 : x
  2. Step 2: Convert to fraction form
    189,483.36/284,324.67 = 77,246.52/x
  3. Step 3: Cross multiply
    189,483.36x = 284,324.67 × 77,246.52
  4. Step 4: Simplify right side
    189,483.36x = 21,963,091,307.65
  5. Step 5: Solve for x
    x = 21,963,091,307.65/189,483.36
  6. Step 6: Final answer
    x = 115,910.40

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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.