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Finding the Fourth Proportional to 210,533.58, 315,790.25 and 77,404.61

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Solution

The fourth proportional to 210,533.58, 315,790.25 and 77,404.61 is: 116,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,533.58 : 315,790.25 = 77,404.61 : x
  2. Step 2: Convert to fraction form
    210,533.58/315,790.25 = 77,404.61/x
  3. Step 3: Cross multiply
    210,533.58x = 315,790.25 × 77,404.61
  4. Step 4: Simplify right side
    210,533.58x = 24,443,621,545.51
  5. Step 5: Solve for x
    x = 24,443,621,545.51/210,533.58
  6. Step 6: Final answer
    x = 116,103.20

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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.