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Finding the Fourth Proportional to 190,062.60, 285,095.10 and 49,820

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Solution

The fourth proportional to 190,062.60, 285,095.10 and 49,820 is: 74,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,062.60 : 285,095.10 = 49,820 : x
  2. Step 2: Convert to fraction form
    190,062.60/285,095.10 = 49,820/x
  3. Step 3: Cross multiply
    190,062.60x = 285,095.10 × 49,820
  4. Step 4: Simplify right side
    190,062.60x = 14,203,437,882.00
  5. Step 5: Solve for x
    x = 14,203,437,882.00/190,062.60
  6. Step 6: Final answer
    x = 74,730.31

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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.