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Finding the Fourth Proportional to 142,013.76, 195,977.76 and 78,352.16

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Solution

The fourth proportional to 142,013.76, 195,977.76 and 78,352.16 is: 108,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,013.76 : 195,977.76 = 78,352.16 : x
  2. Step 2: Convert to fraction form
    142,013.76/195,977.76 = 78,352.16/x
  3. Step 3: Cross multiply
    142,013.76x = 195,977.76 × 78,352.16
  4. Step 4: Simplify right side
    142,013.76x = 15,355,280,807.96
  5. Step 5: Solve for x
    x = 15,355,280,807.96/142,013.76
  6. Step 6: Final answer
    x = 108,125.30

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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.