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Finding the Fourth Proportional to 180,697.29, 249,362.01 and 100,130.03

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Solution

The fourth proportional to 180,697.29, 249,362.01 and 100,130.03 is: 138,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,697.29 : 249,362.01 = 100,130.03 : x
  2. Step 2: Convert to fraction form
    180,697.29/249,362.01 = 100,130.03/x
  3. Step 3: Cross multiply
    180,697.29x = 249,362.01 × 100,130.03
  4. Step 4: Simplify right side
    180,697.29x = 24,968,625,542.16
  5. Step 5: Solve for x
    x = 24,968,625,542.16/180,697.29
  6. Step 6: Final answer
    x = 138,179.30

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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.