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Finding the Fourth Proportional to 105,045.78, 144,963.18 and 67,322.46

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Solution

The fourth proportional to 105,045.78, 144,963.18 and 67,322.46 is: 92,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,045.78 : 144,963.18 = 67,322.46 : x
  2. Step 2: Convert to fraction form
    105,045.78/144,963.18 = 67,322.46/x
  3. Step 3: Cross multiply
    105,045.78x = 144,963.18 × 67,322.46
  4. Step 4: Simplify right side
    105,045.78x = 9,759,277,887.02
  5. Step 5: Solve for x
    x = 9,759,277,887.02/105,045.78
  6. Step 6: Final answer
    x = 92,905.00

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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.