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Finding the Fourth Proportional to 137,903.85, 190,300.19 and 77,477.04

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Solution

The fourth proportional to 137,903.85, 190,300.19 and 77,477.04 is: 106,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,903.85 : 190,300.19 = 77,477.04 : x
  2. Step 2: Convert to fraction form
    137,903.85/190,300.19 = 77,477.04/x
  3. Step 3: Cross multiply
    137,903.85x = 190,300.19 × 77,477.04
  4. Step 4: Simplify right side
    137,903.85x = 14,743,895,045.25
  5. Step 5: Solve for x
    x = 14,743,895,045.25/137,903.85
  6. Step 6: Final answer
    x = 106,914.31

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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.