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Finding the Fourth Proportional to 166,476, 249,714.24 and 67,980

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Solution

The fourth proportional to 166,476, 249,714.24 and 67,980 is: 101,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,476 : 249,714.24 = 67,980 : x
  2. Step 2: Convert to fraction form
    166,476/249,714.24 = 67,980/x
  3. Step 3: Cross multiply
    166,476x = 249,714.24 × 67,980
  4. Step 4: Simplify right side
    166,476x = 16,975,574,035.20
  5. Step 5: Solve for x
    x = 16,975,574,035.20/166,476
  6. Step 6: Final answer
    x = 101,970.10

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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.