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Finding the Fourth Proportional to 180,608, 249,231.36 and 100,035.20

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Solution

The fourth proportional to 180,608, 249,231.36 and 100,035.20 is: 138,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,608 : 249,231.36 = 100,035.20 : x
  2. Step 2: Convert to fraction form
    180,608/249,231.36 = 100,035.20/x
  3. Step 3: Cross multiply
    180,608x = 249,231.36 × 100,035.20
  4. Step 4: Simplify right side
    180,608x = 24,931,908,943.87
  5. Step 5: Solve for x
    x = 24,931,908,943.87/180,608
  6. Step 6: Final answer
    x = 138,044.32

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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.