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Finding the Fourth Proportional to 211,064.22, 316,374.66 and 77,859.72

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Solution

The fourth proportional to 211,064.22, 316,374.66 and 77,859.72 is: 116,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,064.22 : 316,374.66 = 77,859.72 : x
  2. Step 2: Convert to fraction form
    211,064.22/316,374.66 = 77,859.72/x
  3. Step 3: Cross multiply
    211,064.22x = 316,374.66 × 77,859.72
  4. Step 4: Simplify right side
    211,064.22x = 24,632,842,442.70
  5. Step 5: Solve for x
    x = 24,632,842,442.70/211,064.22
  6. Step 6: Final answer
    x = 116,707.81

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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.