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Finding the Fourth Proportional to 133,259.81, 183,898.10 and 72,830.43

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Solution

The fourth proportional to 133,259.81, 183,898.10 and 72,830.43 is: 100,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,259.81 : 183,898.10 = 72,830.43 : x
  2. Step 2: Convert to fraction form
    133,259.81/183,898.10 = 72,830.43/x
  3. Step 3: Cross multiply
    133,259.81x = 183,898.10 × 72,830.43
  4. Step 4: Simplify right side
    133,259.81x = 13,393,377,881.26
  5. Step 5: Solve for x
    x = 13,393,377,881.26/133,259.81
  6. Step 6: Final answer
    x = 100,505.76

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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.