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Finding the Fourth Proportional to 210,856.40, 316,234.91 and 77,664.32

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Solution

The fourth proportional to 210,856.40, 316,234.91 and 77,664.32 is: 116,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,856.40 : 316,234.91 = 77,664.32 : x
  2. Step 2: Convert to fraction form
    210,856.40/316,234.91 = 77,664.32/x
  3. Step 3: Cross multiply
    210,856.40x = 316,234.91 × 77,664.32
  4. Step 4: Simplify right side
    210,856.40x = 24,560,167,275.92
  5. Step 5: Solve for x
    x = 24,560,167,275.92/210,856.40
  6. Step 6: Final answer
    x = 116,478.17

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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.