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Finding the Fourth Proportional to 86,164.16, 118,923.59 and 55,907.01

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Solution

The fourth proportional to 86,164.16, 118,923.59 and 55,907.01 is: 77,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,164.16 : 118,923.59 = 55,907.01 : x
  2. Step 2: Convert to fraction form
    86,164.16/118,923.59 = 55,907.01/x
  3. Step 3: Cross multiply
    86,164.16x = 118,923.59 × 55,907.01
  4. Step 4: Simplify right side
    86,164.16x = 6,648,662,475.13
  5. Step 5: Solve for x
    x = 6,648,662,475.13/86,164.16
  6. Step 6: Final answer
    x = 77,162.74

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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.