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Finding the Fourth Proportional to 141,802.56, 195,688.85 and 78,142.64

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Solution

The fourth proportional to 141,802.56, 195,688.85 and 78,142.64 is: 107,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802.56 : 195,688.85 = 78,142.64 : x
  2. Step 2: Convert to fraction form
    141,802.56/195,688.85 = 78,142.64/x
  3. Step 3: Cross multiply
    141,802.56x = 195,688.85 × 78,142.64
  4. Step 4: Simplify right side
    141,802.56x = 15,291,641,988.41
  5. Step 5: Solve for x
    x = 15,291,641,988.41/141,802.56
  6. Step 6: Final answer
    x = 107,837.56

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