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Finding the Fourth Proportional to 213,632.96, 320,276.64 and 130,498.88

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Solution

The fourth proportional to 213,632.96, 320,276.64 and 130,498.88 is: 195,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,632.96 : 320,276.64 = 130,498.88 : x
  2. Step 2: Convert to fraction form
    213,632.96/320,276.64 = 130,498.88/x
  3. Step 3: Cross multiply
    213,632.96x = 320,276.64 × 130,498.88
  4. Step 4: Simplify right side
    213,632.96x = 41,795,742,810.16
  5. Step 5: Solve for x
    x = 41,795,742,810.16/213,632.96
  6. Step 6: Final answer
    x = 195,642.76

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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.