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Finding the Fourth Proportional to 210,789.56, 316,188.45 and 77,601.26

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Solution

The fourth proportional to 210,789.56, 316,188.45 and 77,601.26 is: 116,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,789.56 : 316,188.45 = 77,601.26 : x
  2. Step 2: Convert to fraction form
    210,789.56/316,188.45 = 77,601.26/x
  3. Step 3: Cross multiply
    210,789.56x = 316,188.45 × 77,601.26
  4. Step 4: Simplify right side
    210,789.56x = 24,536,620,536.50
  5. Step 5: Solve for x
    x = 24,536,620,536.50/210,789.56
  6. Step 6: Final answer
    x = 116,403.40

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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.