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Finding the Fourth Proportional to 213,718.64, 320,369.64 and 89,095.28

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Solution

The fourth proportional to 213,718.64, 320,369.64 and 89,095.28 is: 133,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,718.64 : 320,369.64 = 89,095.28 : x
  2. Step 2: Convert to fraction form
    213,718.64/320,369.64 = 89,095.28/x
  3. Step 3: Cross multiply
    213,718.64x = 320,369.64 × 89,095.28
  4. Step 4: Simplify right side
    213,718.64x = 28,543,422,779.30
  5. Step 5: Solve for x
    x = 28,543,422,779.30/213,718.64
  6. Step 6: Final answer
    x = 133,556.08

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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.