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Finding the Fourth Proportional to 102,801.89, 153,963.33 and 99,964.26

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Solution

The fourth proportional to 102,801.89, 153,963.33 and 99,964.26 is: 149,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,801.89 : 153,963.33 = 99,964.26 : x
  2. Step 2: Convert to fraction form
    102,801.89/153,963.33 = 99,964.26/x
  3. Step 3: Cross multiply
    102,801.89x = 153,963.33 × 99,964.26
  4. Step 4: Simplify right side
    102,801.89x = 15,390,830,350.59
  5. Step 5: Solve for x
    x = 15,390,830,350.59/102,801.89
  6. Step 6: Final answer
    x = 149,713.50

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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.