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Finding the Fourth Proportional to 139,510.23, 192,511.74 and 77,422.29

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Solution

The fourth proportional to 139,510.23, 192,511.74 and 77,422.29 is: 106,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,510.23 : 192,511.74 = 77,422.29 : x
  2. Step 2: Convert to fraction form
    139,510.23/192,511.74 = 77,422.29/x
  3. Step 3: Cross multiply
    139,510.23x = 192,511.74 × 77,422.29
  4. Step 4: Simplify right side
    139,510.23x = 14,904,699,762.68
  5. Step 5: Solve for x
    x = 14,904,699,762.68/139,510.23
  6. Step 6: Final answer
    x = 106,835.89

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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.