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Finding the Fourth Proportional to 133,048.54, 183,608.71 and 78,602.50

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Solution

The fourth proportional to 133,048.54, 183,608.71 and 78,602.50 is: 108,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,048.54 : 183,608.71 = 78,602.50 : x
  2. Step 2: Convert to fraction form
    133,048.54/183,608.71 = 78,602.50/x
  3. Step 3: Cross multiply
    133,048.54x = 183,608.71 × 78,602.50
  4. Step 4: Simplify right side
    133,048.54x = 14,432,103,627.78
  5. Step 5: Solve for x
    x = 14,432,103,627.78/133,048.54
  6. Step 6: Final answer
    x = 108,472.47

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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.