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Finding the Fourth Proportional to 134,419.69, 185,477.46 and 77,048.45

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Solution

The fourth proportional to 134,419.69, 185,477.46 and 77,048.45 is: 106,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,419.69 : 185,477.46 = 77,048.45 : x
  2. Step 2: Convert to fraction form
    134,419.69/185,477.46 = 77,048.45/x
  3. Step 3: Cross multiply
    134,419.69x = 185,477.46 × 77,048.45
  4. Step 4: Simplify right side
    134,419.69x = 14,290,751,266.63
  5. Step 5: Solve for x
    x = 14,290,751,266.63/134,419.69
  6. Step 6: Final answer
    x = 106,314.42

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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.