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Finding the Fourth Proportional to 127,967.40, 192,047.10 and 65,605.80

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Solution

The fourth proportional to 127,967.40, 192,047.10 and 65,605.80 is: 98,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,967.40 : 192,047.10 = 65,605.80 : x
  2. Step 2: Convert to fraction form
    127,967.40/192,047.10 = 65,605.80/x
  3. Step 3: Cross multiply
    127,967.40x = 192,047.10 × 65,605.80
  4. Step 4: Simplify right side
    127,967.40x = 12,599,403,633.18
  5. Step 5: Solve for x
    x = 12,599,403,633.18/127,967.40
  6. Step 6: Final answer
    x = 98,457.92

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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.