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Finding the Fourth Proportional to 102,978.16, 154,361.44 and 58,509.92

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Solution

The fourth proportional to 102,978.16, 154,361.44 and 58,509.92 is: 87,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,978.16 : 154,361.44 = 58,509.92 : x
  2. Step 2: Convert to fraction form
    102,978.16/154,361.44 = 58,509.92/x
  3. Step 3: Cross multiply
    102,978.16x = 154,361.44 × 58,509.92
  4. Step 4: Simplify right side
    102,978.16x = 9,031,675,505.48
  5. Step 5: Solve for x
    x = 9,031,675,505.48/102,978.16
  6. Step 6: Final answer
    x = 87,704.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.