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Finding the Fourth Proportional to 10,200,978.01, 14,076,279.43 and 5,789,298.75

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Solution

The fourth proportional to 10,200,978.01, 14,076,279.43 and 5,789,298.75 is: 7,988,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200,978.01 : 14,076,279.43 = 5,789,298.75 : x
  2. Step 2: Convert to fraction form
    10,200,978.01/14,076,279.43 = 5,789,298.75/x
  3. Step 3: Cross multiply
    10,200,978.01x = 14,076,279.43 × 5,789,298.75
  4. Step 4: Simplify right side
    10,200,978.01x = 81,491,786,908,749.70
  5. Step 5: Solve for x
    x = 81,491,786,908,749.70/10,200,978.01
  6. Step 6: Final answer
    x = 7,988,624.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.