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Finding the Fourth Proportional to 138,012.68, 190,458.29 and 77,582.79

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Solution

The fourth proportional to 138,012.68, 190,458.29 and 77,582.79 is: 107,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,012.68 : 190,458.29 = 77,582.79 : x
  2. Step 2: Convert to fraction form
    138,012.68/190,458.29 = 77,582.79/x
  3. Step 3: Cross multiply
    138,012.68x = 190,458.29 × 77,582.79
  4. Step 4: Simplify right side
    138,012.68x = 14,776,285,516.83
  5. Step 5: Solve for x
    x = 14,776,285,516.83/138,012.68
  6. Step 6: Final answer
    x = 107,064.70

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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.