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Finding the Fourth Proportional to 138,051.81, 190,509.39 and 77,622.51

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Solution

The fourth proportional to 138,051.81, 190,509.39 and 77,622.51 is: 107,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,051.81 : 190,509.39 = 77,622.51 : x
  2. Step 2: Convert to fraction form
    138,051.81/190,509.39 = 77,622.51/x
  3. Step 3: Cross multiply
    138,051.81x = 190,509.39 × 77,622.51
  4. Step 4: Simplify right side
    138,051.81x = 14,787,817,030.37
  5. Step 5: Solve for x
    x = 14,787,817,030.37/138,051.81
  6. Step 6: Final answer
    x = 107,117.88

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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.