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Finding the Fourth Proportional to 202,457.70, 279,393.72 and 111,815.94

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Solution

The fourth proportional to 202,457.70, 279,393.72 and 111,815.94 is: 154,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,457.70 : 279,393.72 = 111,815.94 : x
  2. Step 2: Convert to fraction form
    202,457.70/279,393.72 = 111,815.94/x
  3. Step 3: Cross multiply
    202,457.70x = 279,393.72 × 111,815.94
  4. Step 4: Simplify right side
    202,457.70x = 31,240,671,431.90
  5. Step 5: Solve for x
    x = 31,240,671,431.90/202,457.70
  6. Step 6: Final answer
    x = 154,307.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.