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Finding the Fourth Proportional to 210,889.52, 316,337.93 and 77,701.22

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Solution

The fourth proportional to 210,889.52, 316,337.93 and 77,701.22 is: 116,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,889.52 : 316,337.93 = 77,701.22 : x
  2. Step 2: Convert to fraction form
    210,889.52/316,337.93 = 77,701.22/x
  3. Step 3: Cross multiply
    210,889.52x = 316,337.93 × 77,701.22
  4. Step 4: Simplify right side
    210,889.52x = 24,579,843,093.27
  5. Step 5: Solve for x
    x = 24,579,843,093.27/210,889.52
  6. Step 6: Final answer
    x = 116,553.17

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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.