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Finding the Fourth Proportional to 139,846.48, 192,987.86 and 76,184.26

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Solution

The fourth proportional to 139,846.48, 192,987.86 and 76,184.26 is: 105,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,846.48 : 192,987.86 = 76,184.26 : x
  2. Step 2: Convert to fraction form
    139,846.48/192,987.86 = 76,184.26/x
  3. Step 3: Cross multiply
    139,846.48x = 192,987.86 × 76,184.26
  4. Step 4: Simplify right side
    139,846.48x = 14,702,637,303.08
  5. Step 5: Solve for x
    x = 14,702,637,303.08/139,846.48
  6. Step 6: Final answer
    x = 105,134.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.