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Finding the Fourth Proportional to 207,051.80, 285,642.25 and 130,510.44

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Solution

The fourth proportional to 207,051.80, 285,642.25 and 130,510.44 is: 180,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,051.80 : 285,642.25 = 130,510.44 : x
  2. Step 2: Convert to fraction form
    207,051.80/285,642.25 = 130,510.44/x
  3. Step 3: Cross multiply
    207,051.80x = 285,642.25 × 130,510.44
  4. Step 4: Simplify right side
    207,051.80x = 37,279,295,403.81
  5. Step 5: Solve for x
    x = 37,279,295,403.81/207,051.80
  6. Step 6: Final answer
    x = 180,048.16

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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.