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Finding the Fourth Proportional to 105,158.88, 145,122 and 57,416.64

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Solution

The fourth proportional to 105,158.88, 145,122 and 57,416.64 is: 79,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,158.88 : 145,122 = 57,416.64 : x
  2. Step 2: Convert to fraction form
    105,158.88/145,122 = 57,416.64/x
  3. Step 3: Cross multiply
    105,158.88x = 145,122 × 57,416.64
  4. Step 4: Simplify right side
    105,158.88x = 8,332,417,630.08
  5. Step 5: Solve for x
    x = 8,332,417,630.08/105,158.88
  6. Step 6: Final answer
    x = 79,236.46

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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.