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Finding the Fourth Proportional to 105,972, 146,242.98 and 58,226.28

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Solution

The fourth proportional to 105,972, 146,242.98 and 58,226.28 is: 80,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,972 : 146,242.98 = 58,226.28 : x
  2. Step 2: Convert to fraction form
    105,972/146,242.98 = 58,226.28/x
  3. Step 3: Cross multiply
    105,972x = 146,242.98 × 58,226.28
  4. Step 4: Simplify right side
    105,972x = 8,515,184,701.51
  5. Step 5: Solve for x
    x = 8,515,184,701.51/105,972
  6. Step 6: Final answer
    x = 80,353.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.