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Finding the Fourth Proportional to 102,977.64, 154,361.16 and 69,701.04

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Solution

The fourth proportional to 102,977.64, 154,361.16 and 69,701.04 is: 104,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,977.64 : 154,361.16 = 69,701.04 : x
  2. Step 2: Convert to fraction form
    102,977.64/154,361.16 = 69,701.04/x
  3. Step 3: Cross multiply
    102,977.64x = 154,361.16 × 69,701.04
  4. Step 4: Simplify right side
    102,977.64x = 10,759,133,387.61
  5. Step 5: Solve for x
    x = 10,759,133,387.61/102,977.64
  6. Step 6: Final answer
    x = 104,480.29

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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.