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Finding the Fourth Proportional to 147,142.56, 220,674.84 and 40,501.20

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Solution

The fourth proportional to 147,142.56, 220,674.84 and 40,501.20 is: 60,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,142.56 : 220,674.84 = 40,501.20 : x
  2. Step 2: Convert to fraction form
    147,142.56/220,674.84 = 40,501.20/x
  3. Step 3: Cross multiply
    147,142.56x = 220,674.84 × 40,501.20
  4. Step 4: Simplify right side
    147,142.56x = 8,937,595,829.81
  5. Step 5: Solve for x
    x = 8,937,595,829.81/147,142.56
  6. Step 6: Final answer
    x = 60,741.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.