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Finding the Fourth Proportional to 107,830.85, 148,771.28 and 65,373.89

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Solution

The fourth proportional to 107,830.85, 148,771.28 and 65,373.89 is: 90,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,830.85 : 148,771.28 = 65,373.89 : x
  2. Step 2: Convert to fraction form
    107,830.85/148,771.28 = 65,373.89/x
  3. Step 3: Cross multiply
    107,830.85x = 148,771.28 × 65,373.89
  4. Step 4: Simplify right side
    107,830.85x = 9,725,756,713.46
  5. Step 5: Solve for x
    x = 9,725,756,713.46/107,830.85
  6. Step 6: Final answer
    x = 90,194.57

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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.