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Finding the Fourth Proportional to 140,478.10, 210,911.55 and 110,929.30

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Solution

The fourth proportional to 140,478.10, 210,911.55 and 110,929.30 is: 166,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,478.10 : 210,911.55 = 110,929.30 : x
  2. Step 2: Convert to fraction form
    140,478.10/210,911.55 = 110,929.30/x
  3. Step 3: Cross multiply
    140,478.10x = 210,911.55 × 110,929.30
  4. Step 4: Simplify right side
    140,478.10x = 23,396,270,603.42
  5. Step 5: Solve for x
    x = 23,396,270,603.42/140,478.10
  6. Step 6: Final answer
    x = 166,547.46

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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.