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Finding the Fourth Proportional to 133,114.70, 183,705.75 and 72,690.98

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Solution

The fourth proportional to 133,114.70, 183,705.75 and 72,690.98 is: 100,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,114.70 : 183,705.75 = 72,690.98 : x
  2. Step 2: Convert to fraction form
    133,114.70/183,705.75 = 72,690.98/x
  3. Step 3: Cross multiply
    133,114.70x = 183,705.75 × 72,690.98
  4. Step 4: Simplify right side
    133,114.70x = 13,353,750,080.61
  5. Step 5: Solve for x
    x = 13,353,750,080.61/133,114.70
  6. Step 6: Final answer
    x = 100,317.63

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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.