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Finding the Fourth Proportional to 228,411.45, 342,687.24 and 102,157.89

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Solution

The fourth proportional to 228,411.45, 342,687.24 and 102,157.89 is: 153,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,411.45 : 342,687.24 = 102,157.89 : x
  2. Step 2: Convert to fraction form
    228,411.45/342,687.24 = 102,157.89/x
  3. Step 3: Cross multiply
    228,411.45x = 342,687.24 × 102,157.89
  4. Step 4: Simplify right side
    228,411.45x = 35,008,205,368.32
  5. Step 5: Solve for x
    x = 35,008,205,368.32/228,411.45
  6. Step 6: Final answer
    x = 153,268.17

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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.