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Finding the Fourth Proportional to 138,157.46, 190,643.72 and 77,726.80

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Solution

The fourth proportional to 138,157.46, 190,643.72 and 77,726.80 is: 107,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,157.46 : 190,643.72 = 77,726.80 : x
  2. Step 2: Convert to fraction form
    138,157.46/190,643.72 = 77,726.80/x
  3. Step 3: Cross multiply
    138,157.46x = 190,643.72 × 77,726.80
  4. Step 4: Simplify right side
    138,157.46x = 14,818,126,295.70
  5. Step 5: Solve for x
    x = 14,818,126,295.70/138,157.46
  6. Step 6: Final answer
    x = 107,255.35

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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.