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Finding the Fourth Proportional to 66,698.16, 100,117.72 and 65,192.24

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Solution

The fourth proportional to 66,698.16, 100,117.72 and 65,192.24 is: 97,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,698.16 : 100,117.72 = 65,192.24 : x
  2. Step 2: Convert to fraction form
    66,698.16/100,117.72 = 65,192.24/x
  3. Step 3: Cross multiply
    66,698.16x = 100,117.72 × 65,192.24
  4. Step 4: Simplify right side
    66,698.16x = 6,526,898,430.49
  5. Step 5: Solve for x
    x = 6,526,898,430.49/66,698.16
  6. Step 6: Final answer
    x = 97,857.25

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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.