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Finding the Fourth Proportional to 210,861.52, 316,242.60 and 77,669.44

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Solution

The fourth proportional to 210,861.52, 316,242.60 and 77,669.44 is: 116,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,861.52 : 316,242.60 = 77,669.44 : x
  2. Step 2: Convert to fraction form
    210,861.52/316,242.60 = 77,669.44/x
  3. Step 3: Cross multiply
    210,861.52x = 316,242.60 × 77,669.44
  4. Step 4: Simplify right side
    210,861.52x = 24,562,385,646.14
  5. Step 5: Solve for x
    x = 24,562,385,646.14/210,861.52
  6. Step 6: Final answer
    x = 116,485.86

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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.