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Finding the Fourth Proportional to 122,489.80, 183,780.54 and 83,415.40

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Solution

The fourth proportional to 122,489.80, 183,780.54 and 83,415.40 is: 125,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,489.80 : 183,780.54 = 83,415.40 : x
  2. Step 2: Convert to fraction form
    122,489.80/183,780.54 = 83,415.40/x
  3. Step 3: Cross multiply
    122,489.80x = 183,780.54 × 83,415.40
  4. Step 4: Simplify right side
    122,489.80x = 15,330,127,256.32
  5. Step 5: Solve for x
    x = 15,330,127,256.32/122,489.80
  6. Step 6: Final answer
    x = 125,154.32

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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.