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Finding the Fourth Proportional to 202,878.16, 279,989.04 and 112,256.16

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Solution

The fourth proportional to 202,878.16, 279,989.04 and 112,256.16 is: 154,923.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,878.16 : 279,989.04 = 112,256.16 : x
  2. Step 2: Convert to fraction form
    202,878.16/279,989.04 = 112,256.16/x
  3. Step 3: Cross multiply
    202,878.16x = 279,989.04 × 112,256.16
  4. Step 4: Simplify right side
    202,878.16x = 31,430,494,472.49
  5. Step 5: Solve for x
    x = 31,430,494,472.49/202,878.16
  6. Step 6: Final answer
    x = 154,923.01

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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.