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Finding the Fourth Proportional to 137,841.98, 190,226.52 and 77,423.28

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Solution

The fourth proportional to 137,841.98, 190,226.52 and 77,423.28 is: 106,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,841.98 : 190,226.52 = 77,423.28 : x
  2. Step 2: Convert to fraction form
    137,841.98/190,226.52 = 77,423.28/x
  3. Step 3: Cross multiply
    137,841.98x = 190,226.52 × 77,423.28
  4. Step 4: Simplify right side
    137,841.98x = 14,727,961,121.39
  5. Step 5: Solve for x
    x = 14,727,961,121.39/137,841.98
  6. Step 6: Final answer
    x = 106,846.70

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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.