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Finding the Fourth Proportional to 140,038.72, 210,057 and 34,856.98

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Solution

The fourth proportional to 140,038.72, 210,057 and 34,856.98 is: 52,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,038.72 : 210,057 = 34,856.98 : x
  2. Step 2: Convert to fraction form
    140,038.72/210,057 = 34,856.98/x
  3. Step 3: Cross multiply
    140,038.72x = 210,057 × 34,856.98
  4. Step 4: Simplify right side
    140,038.72x = 7,321,952,647.86
  5. Step 5: Solve for x
    x = 7,321,952,647.86/140,038.72
  6. Step 6: Final answer
    x = 52,285.20

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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.