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Finding the Fourth Proportional to 140,492.13, 210,738.39 and 57,386.13

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Solution

The fourth proportional to 140,492.13, 210,738.39 and 57,386.13 is: 86,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,492.13 : 210,738.39 = 57,386.13 : x
  2. Step 2: Convert to fraction form
    140,492.13/210,738.39 = 57,386.13/x
  3. Step 3: Cross multiply
    140,492.13x = 210,738.39 × 57,386.13
  4. Step 4: Simplify right side
    140,492.13x = 12,093,460,644.53
  5. Step 5: Solve for x
    x = 12,093,460,644.53/140,492.13
  6. Step 6: Final answer
    x = 86,079.27

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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.