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Finding the Fourth Proportional to 103,411.30, 155,116.95 and 50,923.30

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Solution

The fourth proportional to 103,411.30, 155,116.95 and 50,923.30 is: 76,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411.30 : 155,116.95 = 50,923.30 : x
  2. Step 2: Convert to fraction form
    103,411.30/155,116.95 = 50,923.30/x
  3. Step 3: Cross multiply
    103,411.30x = 155,116.95 × 50,923.30
  4. Step 4: Simplify right side
    103,411.30x = 7,899,066,979.94
  5. Step 5: Solve for x
    x = 7,899,066,979.94/103,411.30
  6. Step 6: Final answer
    x = 76,384.95

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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.