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Finding the Fourth Proportional to 105,076, 145,004.88 and 67,350.34

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Solution

The fourth proportional to 105,076, 145,004.88 and 67,350.34 is: 92,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,076 : 145,004.88 = 67,350.34 : x
  2. Step 2: Convert to fraction form
    105,076/145,004.88 = 67,350.34/x
  3. Step 3: Cross multiply
    105,076x = 145,004.88 × 67,350.34
  4. Step 4: Simplify right side
    105,076x = 9,766,127,969.66
  5. Step 5: Solve for x
    x = 9,766,127,969.66/105,076
  6. Step 6: Final answer
    x = 92,943.47

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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.