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Finding the Fourth Proportional to 86,830.80, 130,051.80 and 51,838.80

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Solution

The fourth proportional to 86,830.80, 130,051.80 and 51,838.80 is: 77,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,830.80 : 130,051.80 = 51,838.80 : x
  2. Step 2: Convert to fraction form
    86,830.80/130,051.80 = 51,838.80/x
  3. Step 3: Cross multiply
    86,830.80x = 130,051.80 × 51,838.80
  4. Step 4: Simplify right side
    86,830.80x = 6,741,729,249.84
  5. Step 5: Solve for x
    x = 6,741,729,249.84/86,830.80
  6. Step 6: Final answer
    x = 77,642.14

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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.