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Finding the Fourth Proportional to 118,707.78, 178,088.32 and 39,819.98

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Solution

The fourth proportional to 118,707.78, 178,088.32 and 39,819.98 is: 59,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,707.78 : 178,088.32 = 39,819.98 : x
  2. Step 2: Convert to fraction form
    118,707.78/178,088.32 = 39,819.98/x
  3. Step 3: Cross multiply
    118,707.78x = 178,088.32 × 39,819.98
  4. Step 4: Simplify right side
    118,707.78x = 7,091,473,340.63
  5. Step 5: Solve for x
    x = 7,091,473,340.63/118,707.78
  6. Step 6: Final answer
    x = 59,738.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.