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Finding the Fourth Proportional to 140,209.40, 210,237.30 and 57,009.40

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Solution

The fourth proportional to 140,209.40, 210,237.30 and 57,009.40 is: 85,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,209.40 : 210,237.30 = 57,009.40 : x
  2. Step 2: Convert to fraction form
    140,209.40/210,237.30 = 57,009.40/x
  3. Step 3: Cross multiply
    140,209.40x = 210,237.30 × 57,009.40
  4. Step 4: Simplify right side
    140,209.40x = 11,985,502,330.62
  5. Step 5: Solve for x
    x = 11,985,502,330.62/140,209.40
  6. Step 6: Final answer
    x = 85,482.87

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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.