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Finding the Fourth Proportional to 210,599.20, 316,023.60 and 77,572.96

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Solution

The fourth proportional to 210,599.20, 316,023.60 and 77,572.96 is: 116,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,599.20 : 316,023.60 = 77,572.96 : x
  2. Step 2: Convert to fraction form
    210,599.20/316,023.60 = 77,572.96/x
  3. Step 3: Cross multiply
    210,599.20x = 316,023.60 × 77,572.96
  4. Step 4: Simplify right side
    210,599.20x = 24,514,886,081.86
  5. Step 5: Solve for x
    x = 24,514,886,081.86/210,599.20
  6. Step 6: Final answer
    x = 116,405.41

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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.