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Finding the Fourth Proportional to 213,760.94, 320,641.11 and 85,734.98

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Solution

The fourth proportional to 213,760.94, 320,641.11 and 85,734.98 is: 128,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,760.94 : 320,641.11 = 85,734.98 : x
  2. Step 2: Convert to fraction form
    213,760.94/320,641.11 = 85,734.98/x
  3. Step 3: Cross multiply
    213,760.94x = 320,641.11 × 85,734.98
  4. Step 4: Simplify right side
    213,760.94x = 27,490,159,153.03
  5. Step 5: Solve for x
    x = 27,490,159,153.03/213,760.94
  6. Step 6: Final answer
    x = 128,602.35

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1.5x scale

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.