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Finding the Fourth Proportional to 208,870.66, 313,312.07 and 51,099.07

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Solution

The fourth proportional to 208,870.66, 313,312.07 and 51,099.07 is: 76,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,870.66 : 313,312.07 = 51,099.07 : x
  2. Step 2: Convert to fraction form
    208,870.66/313,312.07 = 51,099.07/x
  3. Step 3: Cross multiply
    208,870.66x = 313,312.07 × 51,099.07
  4. Step 4: Simplify right side
    208,870.66x = 16,009,955,141.28
  5. Step 5: Solve for x
    x = 16,009,955,141.28/208,870.66
  6. Step 6: Final answer
    x = 76,650.09

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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.