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Finding the Fourth Proportional to 210,855.90, 316,234.16 and 77,663.82

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Solution

The fourth proportional to 210,855.90, 316,234.16 and 77,663.82 is: 116,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,855.90 : 316,234.16 = 77,663.82 : x
  2. Step 2: Convert to fraction form
    210,855.90/316,234.16 = 77,663.82/x
  3. Step 3: Cross multiply
    210,855.90x = 316,234.16 × 77,663.82
  4. Step 4: Simplify right side
    210,855.90x = 24,559,952,880.09
  5. Step 5: Solve for x
    x = 24,559,952,880.09/210,855.90
  6. Step 6: Final answer
    x = 116,477.43

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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.