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Finding the Fourth Proportional to 155,415.90, 233,239.05 and 102,807.90

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Solution

The fourth proportional to 155,415.90, 233,239.05 and 102,807.90 is: 154,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,415.90 : 233,239.05 = 102,807.90 : x
  2. Step 2: Convert to fraction form
    155,415.90/233,239.05 = 102,807.90/x
  3. Step 3: Cross multiply
    155,415.90x = 233,239.05 × 102,807.90
  4. Step 4: Simplify right side
    155,415.90x = 23,978,816,928.50
  5. Step 5: Solve for x
    x = 23,978,816,928.50/155,415.90
  6. Step 6: Final answer
    x = 154,288.06

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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.