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Finding the Fourth Proportional to 213,746.88, 320,516.80 and 87,336.93

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Solution

The fourth proportional to 213,746.88, 320,516.80 and 87,336.93 is: 130,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,746.88 : 320,516.80 = 87,336.93 : x
  2. Step 2: Convert to fraction form
    213,746.88/320,516.80 = 87,336.93/x
  3. Step 3: Cross multiply
    213,746.88x = 320,516.80 × 87,336.93
  4. Step 4: Simplify right side
    213,746.88x = 27,992,954,309.02
  5. Step 5: Solve for x
    x = 27,992,954,309.02/213,746.88
  6. Step 6: Final answer
    x = 130,963.10

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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.