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Finding the Fourth Proportional to 133,042.04, 183,599.74 and 78,596

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Solution

The fourth proportional to 133,042.04, 183,599.74 and 78,596 is: 108,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042.04 : 183,599.74 = 78,596 : x
  2. Step 2: Convert to fraction form
    133,042.04/183,599.74 = 78,596/x
  3. Step 3: Cross multiply
    133,042.04x = 183,599.74 × 78,596
  4. Step 4: Simplify right side
    133,042.04x = 14,430,205,165.04
  5. Step 5: Solve for x
    x = 14,430,205,165.04/133,042.04
  6. Step 6: Final answer
    x = 108,463.50

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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.