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Finding the Fourth Proportional to 138,017.16, 190,450.44 and 77,573.88

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Solution

The fourth proportional to 138,017.16, 190,450.44 and 77,573.88 is: 107,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,017.16 : 190,450.44 = 77,573.88 : x
  2. Step 2: Convert to fraction form
    138,017.16/190,450.44 = 77,573.88/x
  3. Step 3: Cross multiply
    138,017.16x = 190,450.44 × 77,573.88
  4. Step 4: Simplify right side
    138,017.16x = 14,773,979,578.51
  5. Step 5: Solve for x
    x = 14,773,979,578.51/138,017.16
  6. Step 6: Final answer
    x = 107,044.51

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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.