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Finding the Fourth Proportional to 102,245.12, 141,098.16 and 57,533.12

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Solution

The fourth proportional to 102,245.12, 141,098.16 and 57,533.12 is: 79,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,245.12 : 141,098.16 = 57,533.12 : x
  2. Step 2: Convert to fraction form
    102,245.12/141,098.16 = 57,533.12/x
  3. Step 3: Cross multiply
    102,245.12x = 141,098.16 × 57,533.12
  4. Step 4: Simplify right side
    102,245.12x = 8,117,817,371.06
  5. Step 5: Solve for x
    x = 8,117,817,371.06/102,245.12
  6. Step 6: Final answer
    x = 79,395.65

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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.