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Finding the Fourth Proportional to 178,430, 246,233.40 and 98,942

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Solution

The fourth proportional to 178,430, 246,233.40 and 98,942 is: 136,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,430 : 246,233.40 = 98,942 : x
  2. Step 2: Convert to fraction form
    178,430/246,233.40 = 98,942/x
  3. Step 3: Cross multiply
    178,430x = 246,233.40 × 98,942
  4. Step 4: Simplify right side
    178,430x = 24,362,825,062.80
  5. Step 5: Solve for x
    x = 24,362,825,062.80/178,430
  6. Step 6: Final answer
    x = 136,539.96

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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.