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Finding the Fourth Proportional to 228,665.61, 343,036.99 and 78,865.83

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Solution

The fourth proportional to 228,665.61, 343,036.99 and 78,865.83 is: 118,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,665.61 : 343,036.99 = 78,865.83 : x
  2. Step 2: Convert to fraction form
    228,665.61/343,036.99 = 78,865.83/x
  3. Step 3: Cross multiply
    228,665.61x = 343,036.99 × 78,865.83
  4. Step 4: Simplify right side
    228,665.61x = 27,053,896,937.05
  5. Step 5: Solve for x
    x = 27,053,896,937.05/228,665.61
  6. Step 6: Final answer
    x = 118,312.05

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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.