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Finding the Fourth Proportional to 137,434.60, 206,130.30 and 48,675.40

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Solution

The fourth proportional to 137,434.60, 206,130.30 and 48,675.40 is: 73,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,434.60 : 206,130.30 = 48,675.40 : x
  2. Step 2: Convert to fraction form
    137,434.60/206,130.30 = 48,675.40/x
  3. Step 3: Cross multiply
    137,434.60x = 206,130.30 × 48,675.40
  4. Step 4: Simplify right side
    137,434.60x = 10,033,474,804.62
  5. Step 5: Solve for x
    x = 10,033,474,804.62/137,434.60
  6. Step 6: Final answer
    x = 73,005.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.