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Finding the Fourth Proportional to 133,147.18, 183,718.74 and 75,783.10

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Solution

The fourth proportional to 133,147.18, 183,718.74 and 75,783.10 is: 104,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,147.18 : 183,718.74 = 75,783.10 : x
  2. Step 2: Convert to fraction form
    133,147.18/183,718.74 = 75,783.10/x
  3. Step 3: Cross multiply
    133,147.18x = 183,718.74 × 75,783.10
  4. Step 4: Simplify right side
    133,147.18x = 13,922,775,645.29
  5. Step 5: Solve for x
    x = 13,922,775,645.29/133,147.18
  6. Step 6: Final answer
    x = 104,566.81

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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.