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Finding the Fourth Proportional to 140,495.96, 210,744.12 and 57,389.96

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Solution

The fourth proportional to 140,495.96, 210,744.12 and 57,389.96 is: 86,085.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,495.96 : 210,744.12 = 57,389.96 : x
  2. Step 2: Convert to fraction form
    140,495.96/210,744.12 = 57,389.96/x
  3. Step 3: Cross multiply
    140,495.96x = 210,744.12 × 57,389.96
  4. Step 4: Simplify right side
    140,495.96x = 12,094,596,617.04
  5. Step 5: Solve for x
    x = 12,094,596,617.04/140,495.96
  6. Step 6: Final answer
    x = 86,085.01

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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.