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Finding the Fourth Proportional to 114,246.68, 157,638 and 71,780.68

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Solution

The fourth proportional to 114,246.68, 157,638 and 71,780.68 is: 99,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,246.68 : 157,638 = 71,780.68 : x
  2. Step 2: Convert to fraction form
    114,246.68/157,638 = 71,780.68/x
  3. Step 3: Cross multiply
    114,246.68x = 157,638 × 71,780.68
  4. Step 4: Simplify right side
    114,246.68x = 11,315,362,833.84
  5. Step 5: Solve for x
    x = 11,315,362,833.84/114,246.68
  6. Step 6: Final answer
    x = 99,043.25

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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.