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Finding the Fourth Proportional to 180,670.88, 249,149.04 and 137,760.32

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Solution

The fourth proportional to 180,670.88, 249,149.04 and 137,760.32 is: 189,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,670.88 : 249,149.04 = 137,760.32 : x
  2. Step 2: Convert to fraction form
    180,670.88/249,149.04 = 137,760.32/x
  3. Step 3: Cross multiply
    180,670.88x = 249,149.04 × 137,760.32
  4. Step 4: Simplify right side
    180,670.88x = 34,322,851,478.09
  5. Step 5: Solve for x
    x = 34,322,851,478.09/180,670.88
  6. Step 6: Final answer
    x = 189,974.45

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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.