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Finding the Fourth Proportional to 66,698.66, 100,118.47 and 65,192.74

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Solution

The fourth proportional to 66,698.66, 100,118.47 and 65,192.74 is: 97,858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,698.66 : 100,118.47 = 65,192.74 : x
  2. Step 2: Convert to fraction form
    66,698.66/100,118.47 = 65,192.74/x
  3. Step 3: Cross multiply
    66,698.66x = 100,118.47 × 65,192.74
  4. Step 4: Simplify right side
    66,698.66x = 6,526,997,383.91
  5. Step 5: Solve for x
    x = 6,526,997,383.91/66,698.66
  6. Step 6: Final answer
    x = 97,858.00

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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.