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Finding the Fourth Proportional to 130,992.16, 180,769.44 and 71,376.16

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Solution

The fourth proportional to 130,992.16, 180,769.44 and 71,376.16 is: 98,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,992.16 : 180,769.44 = 71,376.16 : x
  2. Step 2: Convert to fraction form
    130,992.16/180,769.44 = 71,376.16/x
  3. Step 3: Cross multiply
    130,992.16x = 180,769.44 × 71,376.16
  4. Step 4: Simplify right side
    130,992.16x = 12,902,628,472.55
  5. Step 5: Solve for x
    x = 12,902,628,472.55/130,992.16
  6. Step 6: Final answer
    x = 98,499.24

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1.5x scale

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.