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Finding the Fourth Proportional to 213,784.90, 320,695.71 and 56,013.37

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Solution

The fourth proportional to 213,784.90, 320,695.71 and 56,013.37 is: 84,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,784.90 : 320,695.71 = 56,013.37 : x
  2. Step 2: Convert to fraction form
    213,784.90/320,695.71 = 56,013.37/x
  3. Step 3: Cross multiply
    213,784.90x = 320,695.71 × 56,013.37
  4. Step 4: Simplify right side
    213,784.90x = 17,963,247,461.64
  5. Step 5: Solve for x
    x = 17,963,247,461.64/213,784.90
  6. Step 6: Final answer
    x = 84,024.87

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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.