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Finding the Fourth Proportional to 137,435.19, 206,114.40 and 48,664.86

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Solution

The fourth proportional to 137,435.19, 206,114.40 and 48,664.86 is: 72,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,435.19 : 206,114.40 = 48,664.86 : x
  2. Step 2: Convert to fraction form
    137,435.19/206,114.40 = 48,664.86/x
  3. Step 3: Cross multiply
    137,435.19x = 206,114.40 × 48,664.86
  4. Step 4: Simplify right side
    137,435.19x = 10,030,528,419.98
  5. Step 5: Solve for x
    x = 10,030,528,419.98/137,435.19
  6. Step 6: Final answer
    x = 72,983.70

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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.