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Finding the Fourth Proportional to 137,935, 190,350.48 and 78,319

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Solution

The fourth proportional to 137,935, 190,350.48 and 78,319 is: 108,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,935 : 190,350.48 = 78,319 : x
  2. Step 2: Convert to fraction form
    137,935/190,350.48 = 78,319/x
  3. Step 3: Cross multiply
    137,935x = 190,350.48 × 78,319
  4. Step 4: Simplify right side
    137,935x = 14,908,059,243.12
  5. Step 5: Solve for x
    x = 14,908,059,243.12/137,935
  6. Step 6: Final answer
    x = 108,080.32

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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.