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Finding the Fourth Proportional to 136,854.84, 188,852.46 and 77,235

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Solution

The fourth proportional to 136,854.84, 188,852.46 and 77,235 is: 106,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,854.84 : 188,852.46 = 77,235 : x
  2. Step 2: Convert to fraction form
    136,854.84/188,852.46 = 77,235/x
  3. Step 3: Cross multiply
    136,854.84x = 188,852.46 × 77,235
  4. Step 4: Simplify right side
    136,854.84x = 14,586,019,748.10
  5. Step 5: Solve for x
    x = 14,586,019,748.10/136,854.84
  6. Step 6: Final answer
    x = 106,580.23

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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.