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Finding the Fourth Proportional to 138,295.63, 190,832.19 and 77,864.71

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Solution

The fourth proportional to 138,295.63, 190,832.19 and 77,864.71 is: 107,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,295.63 : 190,832.19 = 77,864.71 : x
  2. Step 2: Convert to fraction form
    138,295.63/190,832.19 = 77,864.71/x
  3. Step 3: Cross multiply
    138,295.63x = 190,832.19 × 77,864.71
  4. Step 4: Simplify right side
    138,295.63x = 14,859,093,133.01
  5. Step 5: Solve for x
    x = 14,859,093,133.01/138,295.63
  6. Step 6: Final answer
    x = 107,444.42

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1.5x scale

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.