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Finding the Fourth Proportional to 140,565, 210,869.42 and 45,772.80

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Solution

The fourth proportional to 140,565, 210,869.42 and 45,772.80 is: 68,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,565 : 210,869.42 = 45,772.80 : x
  2. Step 2: Convert to fraction form
    140,565/210,869.42 = 45,772.80/x
  3. Step 3: Cross multiply
    140,565x = 210,869.42 × 45,772.80
  4. Step 4: Simplify right side
    140,565x = 9,652,083,558.91
  5. Step 5: Solve for x
    x = 9,652,083,558.91/140,565
  6. Step 6: Final answer
    x = 68,666.34

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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.