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Finding the Fourth Proportional to 230,643.36, 318,287.88 and 130,041.36

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Solution

The fourth proportional to 230,643.36, 318,287.88 and 130,041.36 is: 179,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,643.36 : 318,287.88 = 130,041.36 : x
  2. Step 2: Convert to fraction form
    230,643.36/318,287.88 = 130,041.36/x
  3. Step 3: Cross multiply
    230,643.36x = 318,287.88 × 130,041.36
  4. Step 4: Simplify right side
    230,643.36x = 41,390,588,786.72
  5. Step 5: Solve for x
    x = 41,390,588,786.72/230,643.36
  6. Step 6: Final answer
    x = 179,457.10

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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.