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Finding the Fourth Proportional to 98,011.86, 135,297.65 and 66,223.82

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Solution

The fourth proportional to 98,011.86, 135,297.65 and 66,223.82 is: 91,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,011.86 : 135,297.65 = 66,223.82 : x
  2. Step 2: Convert to fraction form
    98,011.86/135,297.65 = 66,223.82/x
  3. Step 3: Cross multiply
    98,011.86x = 135,297.65 × 66,223.82
  4. Step 4: Simplify right side
    98,011.86x = 8,959,927,220.02
  5. Step 5: Solve for x
    x = 8,959,927,220.02/98,011.86
  6. Step 6: Final answer
    x = 91,416.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.