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Finding the Fourth Proportional to 133,312.86, 183,991.78 and 76,713.30

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Solution

The fourth proportional to 133,312.86, 183,991.78 and 76,713.30 is: 105,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,312.86 : 183,991.78 = 76,713.30 : x
  2. Step 2: Convert to fraction form
    133,312.86/183,991.78 = 76,713.30/x
  3. Step 3: Cross multiply
    133,312.86x = 183,991.78 × 76,713.30
  4. Step 4: Simplify right side
    133,312.86x = 14,114,616,616.67
  5. Step 5: Solve for x
    x = 14,114,616,616.67/133,312.86
  6. Step 6: Final answer
    x = 105,875.88

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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.