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Finding the Fourth Proportional to 210,856.90, 316,235.66 and 77,664.82

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Solution

The fourth proportional to 210,856.90, 316,235.66 and 77,664.82 is: 116,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,856.90 : 316,235.66 = 77,664.82 : x
  2. Step 2: Convert to fraction form
    210,856.90/316,235.66 = 77,664.82/x
  3. Step 3: Cross multiply
    210,856.90x = 316,235.66 × 77,664.82
  4. Step 4: Simplify right side
    210,856.90x = 24,560,383,641.98
  5. Step 5: Solve for x
    x = 24,560,383,641.98/210,856.90
  6. Step 6: Final answer
    x = 116,478.92

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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.