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Finding the Fourth Proportional to 98,142.90, 135,437.85 and 55,702.14

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Solution

The fourth proportional to 98,142.90, 135,437.85 and 55,702.14 is: 76,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,142.90 : 135,437.85 = 55,702.14 : x
  2. Step 2: Convert to fraction form
    98,142.90/135,437.85 = 55,702.14/x
  3. Step 3: Cross multiply
    98,142.90x = 135,437.85 × 55,702.14
  4. Step 4: Simplify right side
    98,142.90x = 7,544,178,082.00
  5. Step 5: Solve for x
    x = 7,544,178,082.00/98,142.90
  6. Step 6: Final answer
    x = 76,869.32

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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.