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Finding the Fourth Proportional to 133,138.98, 183,733.26 and 72,711.40

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Solution

The fourth proportional to 133,138.98, 183,733.26 and 72,711.40 is: 100,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,138.98 : 183,733.26 = 72,711.40 : x
  2. Step 2: Convert to fraction form
    133,138.98/183,733.26 = 72,711.40/x
  3. Step 3: Cross multiply
    133,138.98x = 183,733.26 × 72,711.40
  4. Step 4: Simplify right side
    133,138.98x = 13,359,502,561.16
  5. Step 5: Solve for x
    x = 13,359,502,561.16/133,138.98
  6. Step 6: Final answer
    x = 100,342.53

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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.