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Finding the Fourth Proportional to 166,480, 249,720.24 and 67,984

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Solution

The fourth proportional to 166,480, 249,720.24 and 67,984 is: 101,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,480 : 249,720.24 = 67,984 : x
  2. Step 2: Convert to fraction form
    166,480/249,720.24 = 67,984/x
  3. Step 3: Cross multiply
    166,480x = 249,720.24 × 67,984
  4. Step 4: Simplify right side
    166,480x = 16,976,980,796.16
  5. Step 5: Solve for x
    x = 16,976,980,796.16/166,480
  6. Step 6: Final answer
    x = 101,976.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.