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Finding the Fourth Proportional to 137,873.04, 190,251.36 and 77,430

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Solution

The fourth proportional to 137,873.04, 190,251.36 and 77,430 is: 106,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,873.04 : 190,251.36 = 77,430 : x
  2. Step 2: Convert to fraction form
    137,873.04/190,251.36 = 77,430/x
  3. Step 3: Cross multiply
    137,873.04x = 190,251.36 × 77,430
  4. Step 4: Simplify right side
    137,873.04x = 14,731,162,804.80
  5. Step 5: Solve for x
    x = 14,731,162,804.80/137,873.04
  6. Step 6: Final answer
    x = 106,845.85

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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.