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Finding the Fourth Proportional to 152,840.40, 229,260.60 and 137,288.40

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Solution

The fourth proportional to 152,840.40, 229,260.60 and 137,288.40 is: 205,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,840.40 : 229,260.60 = 137,288.40 : x
  2. Step 2: Convert to fraction form
    152,840.40/229,260.60 = 137,288.40/x
  3. Step 3: Cross multiply
    152,840.40x = 229,260.60 × 137,288.40
  4. Step 4: Simplify right side
    152,840.40x = 31,474,820,957.04
  5. Step 5: Solve for x
    x = 31,474,820,957.04/152,840.40
  6. Step 6: Final answer
    x = 205,932.60

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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.