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Finding the Fourth Proportional to 210,410.61, 315,693.68 and 77,377.83

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Solution

The fourth proportional to 210,410.61, 315,693.68 and 77,377.83 is: 116,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,410.61 : 315,693.68 = 77,377.83 : x
  2. Step 2: Convert to fraction form
    210,410.61/315,693.68 = 77,377.83/x
  3. Step 3: Cross multiply
    210,410.61x = 315,693.68 × 77,377.83
  4. Step 4: Simplify right side
    210,410.61x = 24,427,691,516.23
  5. Step 5: Solve for x
    x = 24,427,691,516.23/210,410.61
  6. Step 6: Final answer
    x = 116,095.34

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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.