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Finding the Fourth Proportional to 190,047.67, 285,440.56 and 139,929.83

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Solution

The fourth proportional to 190,047.67, 285,440.56 and 139,929.83 is: 210,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,047.67 : 285,440.56 = 139,929.83 : x
  2. Step 2: Convert to fraction form
    190,047.67/285,440.56 = 139,929.83/x
  3. Step 3: Cross multiply
    190,047.67x = 285,440.56 × 139,929.83
  4. Step 4: Simplify right side
    190,047.67x = 39,941,648,329.28
  5. Step 5: Solve for x
    x = 39,941,648,329.28/190,047.67
  6. Step 6: Final answer
    x = 210,166.47

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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.