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Finding the Fourth Proportional to 144,361.36, 216,542.04 and 70,426

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Solution

The fourth proportional to 144,361.36, 216,542.04 and 70,426 is: 105,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,361.36 : 216,542.04 = 70,426 : x
  2. Step 2: Convert to fraction form
    144,361.36/216,542.04 = 70,426/x
  3. Step 3: Cross multiply
    144,361.36x = 216,542.04 × 70,426
  4. Step 4: Simplify right side
    144,361.36x = 15,250,189,709.04
  5. Step 5: Solve for x
    x = 15,250,189,709.04/144,361.36
  6. Step 6: Final answer
    x = 105,639.00

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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.