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Finding the Fourth Proportional to 145,670, 218,490.36 and 106,304

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Solution

The fourth proportional to 145,670, 218,490.36 and 106,304 is: 159,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,670 : 218,490.36 = 106,304 : x
  2. Step 2: Convert to fraction form
    145,670/218,490.36 = 106,304/x
  3. Step 3: Cross multiply
    145,670x = 218,490.36 × 106,304
  4. Step 4: Simplify right side
    145,670x = 23,226,399,229.44
  5. Step 5: Solve for x
    x = 23,226,399,229.44/145,670
  6. Step 6: Final answer
    x = 159,445.32

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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.