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Finding the Fourth Proportional to 137,698.80, 190,008.72 and 77,256.84

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Solution

The fourth proportional to 137,698.80, 190,008.72 and 77,256.84 is: 106,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,698.80 : 190,008.72 = 77,256.84 : x
  2. Step 2: Convert to fraction form
    137,698.80/190,008.72 = 77,256.84/x
  3. Step 3: Cross multiply
    137,698.80x = 190,008.72 × 77,256.84
  4. Step 4: Simplify right side
    137,698.80x = 14,679,473,279.64
  5. Step 5: Solve for x
    x = 14,679,473,279.64/137,698.80
  6. Step 6: Final answer
    x = 106,605.67

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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.