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Finding the Fourth Proportional to 137,946, 190,365.66 and 78,330

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Solution

The fourth proportional to 137,946, 190,365.66 and 78,330 is: 108,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,946 : 190,365.66 = 78,330 : x
  2. Step 2: Convert to fraction form
    137,946/190,365.66 = 78,330/x
  3. Step 3: Cross multiply
    137,946x = 190,365.66 × 78,330
  4. Step 4: Simplify right side
    137,946x = 14,911,342,147.80
  5. Step 5: Solve for x
    x = 14,911,342,147.80/137,946
  6. Step 6: Final answer
    x = 108,095.50

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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.