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Finding the Fourth Proportional to 130,806.90, 180,513.90 and 74,218.14

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Solution

The fourth proportional to 130,806.90, 180,513.90 and 74,218.14 is: 102,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,806.90 : 180,513.90 = 74,218.14 : x
  2. Step 2: Convert to fraction form
    130,806.90/180,513.90 = 74,218.14/x
  3. Step 3: Cross multiply
    130,806.90x = 180,513.90 × 74,218.14
  4. Step 4: Simplify right side
    130,806.90x = 13,397,405,902.15
  5. Step 5: Solve for x
    x = 13,397,405,902.15/130,806.90
  6. Step 6: Final answer
    x = 102,421.25

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1.5x scale

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.