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Finding the Fourth Proportional to 78,824.30, 108,780.80 and 44,838.77

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Solution

The fourth proportional to 78,824.30, 108,780.80 and 44,838.77 is: 61,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824.30 : 108,780.80 = 44,838.77 : x
  2. Step 2: Convert to fraction form
    78,824.30/108,780.80 = 44,838.77/x
  3. Step 3: Cross multiply
    78,824.30x = 108,780.80 × 44,838.77
  4. Step 4: Simplify right side
    78,824.30x = 4,877,597,547.47
  5. Step 5: Solve for x
    x = 4,877,597,547.47/78,824.30
  6. Step 6: Final answer
    x = 61,879.37

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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.