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Finding the Fourth Proportional to 213,256.71, 319,777.77 and 71,051.61

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Solution

The fourth proportional to 213,256.71, 319,777.77 and 71,051.61 is: 106,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,256.71 : 319,777.77 = 71,051.61 : x
  2. Step 2: Convert to fraction form
    213,256.71/319,777.77 = 71,051.61/x
  3. Step 3: Cross multiply
    213,256.71x = 319,777.77 × 71,051.61
  4. Step 4: Simplify right side
    213,256.71x = 22,720,725,400.71
  5. Step 5: Solve for x
    x = 22,720,725,400.71/213,256.71
  6. Step 6: Final answer
    x = 106,541.67

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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.