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Finding the Fourth Proportional to 100,874.66, 151,426.80 and 51,011.06

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Solution

The fourth proportional to 100,874.66, 151,426.80 and 51,011.06 is: 76,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,874.66 : 151,426.80 = 51,011.06 : x
  2. Step 2: Convert to fraction form
    100,874.66/151,426.80 = 51,011.06/x
  3. Step 3: Cross multiply
    100,874.66x = 151,426.80 × 51,011.06
  4. Step 4: Simplify right side
    100,874.66x = 7,724,440,823.27
  5. Step 5: Solve for x
    x = 7,724,440,823.27/100,874.66
  6. Step 6: Final answer
    x = 76,574.64

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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.