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Finding the Fourth Proportional to 136,746, 188,715.96 and 77,130

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Solution

The fourth proportional to 136,746, 188,715.96 and 77,130 is: 106,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,746 : 188,715.96 = 77,130 : x
  2. Step 2: Convert to fraction form
    136,746/188,715.96 = 77,130/x
  3. Step 3: Cross multiply
    136,746x = 188,715.96 × 77,130
  4. Step 4: Simplify right side
    136,746x = 14,555,661,994.80
  5. Step 5: Solve for x
    x = 14,555,661,994.80/136,746
  6. Step 6: Final answer
    x = 106,443.05

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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.