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Finding the Fourth Proportional to 105,527.32, 145,631.36 and 57,780.99

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Solution

The fourth proportional to 105,527.32, 145,631.36 and 57,780.99 is: 79,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,527.32 : 145,631.36 = 57,780.99 : x
  2. Step 2: Convert to fraction form
    105,527.32/145,631.36 = 57,780.99/x
  3. Step 3: Cross multiply
    105,527.32x = 145,631.36 × 57,780.99
  4. Step 4: Simplify right side
    105,527.32x = 8,414,724,155.85
  5. Step 5: Solve for x
    x = 8,414,724,155.85/105,527.32
  6. Step 6: Final answer
    x = 79,739.77

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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.