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Finding the Fourth Proportional to 133,290.86, 183,911.72 and 76,702.23

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Solution

The fourth proportional to 133,290.86, 183,911.72 and 76,702.23 is: 105,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,290.86 : 183,911.72 = 76,702.23 : x
  2. Step 2: Convert to fraction form
    133,290.86/183,911.72 = 76,702.23/x
  3. Step 3: Cross multiply
    133,290.86x = 183,911.72 × 76,702.23
  4. Step 4: Simplify right side
    133,290.86x = 14,106,438,663.62
  5. Step 5: Solve for x
    x = 14,106,438,663.62/133,290.86
  6. Step 6: Final answer
    x = 105,832.01

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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.