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Finding the Fourth Proportional to 137,700.80, 190,011.48 and 77,258.84

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Solution

The fourth proportional to 137,700.80, 190,011.48 and 77,258.84 is: 106,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,700.80 : 190,011.48 = 77,258.84 : x
  2. Step 2: Convert to fraction form
    137,700.80/190,011.48 = 77,258.84/x
  3. Step 3: Cross multiply
    137,700.80x = 190,011.48 × 77,258.84
  4. Step 4: Simplify right side
    137,700.80x = 14,680,066,531.48
  5. Step 5: Solve for x
    x = 14,680,066,531.48/137,700.80
  6. Step 6: Final answer
    x = 106,608.43

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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.