Home / 106,802.40-160,169.04-77,288.16

Finding the Fourth Proportional to 106,802.40, 160,169.04 and 77,288.16

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Solution

The fourth proportional to 106,802.40, 160,169.04 and 77,288.16 is: 115,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,802.40 : 160,169.04 = 77,288.16 : x
  2. Step 2: Convert to fraction form
    106,802.40/160,169.04 = 77,288.16/x
  3. Step 3: Cross multiply
    106,802.40x = 160,169.04 × 77,288.16
  4. Step 4: Simplify right side
    106,802.40x = 12,379,170,390.57
  5. Step 5: Solve for x
    x = 12,379,170,390.57/106,802.40
  6. Step 6: Final answer
    x = 115,907.23

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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.