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Finding the Fourth Proportional to 190,036.16, 285,152.60 and 137,876.16

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Solution

The fourth proportional to 190,036.16, 285,152.60 and 137,876.16 is: 206,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,036.16 : 285,152.60 = 137,876.16 : x
  2. Step 2: Convert to fraction form
    190,036.16/285,152.60 = 137,876.16/x
  3. Step 3: Cross multiply
    190,036.16x = 285,152.60 × 137,876.16
  4. Step 4: Simplify right side
    190,036.16x = 39,315,745,502.02
  5. Step 5: Solve for x
    x = 39,315,745,502.02/190,036.16
  6. Step 6: Final answer
    x = 206,885.60

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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.