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Finding the Fourth Proportional to 178,848, 246,810.24 and 99,360

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Solution

The fourth proportional to 178,848, 246,810.24 and 99,360 is: 137,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,848 : 246,810.24 = 99,360 : x
  2. Step 2: Convert to fraction form
    178,848/246,810.24 = 99,360/x
  3. Step 3: Cross multiply
    178,848x = 246,810.24 × 99,360
  4. Step 4: Simplify right side
    178,848x = 24,523,065,446.40
  5. Step 5: Solve for x
    x = 24,523,065,446.40/178,848
  6. Step 6: Final answer
    x = 137,116.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.