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Finding the Fourth Proportional to 102,740.96, 141,762.48 and 58,020.32

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Solution

The fourth proportional to 102,740.96, 141,762.48 and 58,020.32 is: 80,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,740.96 : 141,762.48 = 58,020.32 : x
  2. Step 2: Convert to fraction form
    102,740.96/141,762.48 = 58,020.32/x
  3. Step 3: Cross multiply
    102,740.96x = 141,762.48 × 58,020.32
  4. Step 4: Simplify right side
    102,740.96x = 8,225,104,453.59
  5. Step 5: Solve for x
    x = 8,225,104,453.59/102,740.96
  6. Step 6: Final answer
    x = 80,056.72

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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.