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Finding the Fourth Proportional to 130,386.99, 180,020.48 and 100,118.01

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Solution

The fourth proportional to 130,386.99, 180,020.48 and 100,118.01 is: 138,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,386.99 : 180,020.48 = 100,118.01 : x
  2. Step 2: Convert to fraction form
    130,386.99/180,020.48 = 100,118.01/x
  3. Step 3: Cross multiply
    130,386.99x = 180,020.48 × 100,118.01
  4. Step 4: Simplify right side
    130,386.99x = 18,023,292,216.84
  5. Step 5: Solve for x
    x = 18,023,292,216.84/130,386.99
  6. Step 6: Final answer
    x = 138,229.22

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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.