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Finding the Fourth Proportional to 130,908, 180,653.04 and 71,292

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Solution

The fourth proportional to 130,908, 180,653.04 and 71,292 is: 98,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,908 : 180,653.04 = 71,292 : x
  2. Step 2: Convert to fraction form
    130,908/180,653.04 = 71,292/x
  3. Step 3: Cross multiply
    130,908x = 180,653.04 × 71,292
  4. Step 4: Simplify right side
    130,908x = 12,879,116,527.68
  5. Step 5: Solve for x
    x = 12,879,116,527.68/130,908
  6. Step 6: Final answer
    x = 98,382.96

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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.