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Finding the Fourth Proportional to 102,336.66, 153,218.25 and 77,297.94

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Solution

The fourth proportional to 102,336.66, 153,218.25 and 77,297.94 is: 115,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,336.66 : 153,218.25 = 77,297.94 : x
  2. Step 2: Convert to fraction form
    102,336.66/153,218.25 = 77,297.94/x
  3. Step 3: Cross multiply
    102,336.66x = 153,218.25 × 77,297.94
  4. Step 4: Simplify right side
    102,336.66x = 11,843,455,095.41
  5. Step 5: Solve for x
    x = 11,843,455,095.41/102,336.66
  6. Step 6: Final answer
    x = 115,730.33

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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.