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Finding the Fourth Proportional to 107,978.67, 148,808.78 and 77,711.45

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Solution

The fourth proportional to 107,978.67, 148,808.78 and 77,711.45 is: 107,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,978.67 : 148,808.78 = 77,711.45 : x
  2. Step 2: Convert to fraction form
    107,978.67/148,808.78 = 77,711.45/x
  3. Step 3: Cross multiply
    107,978.67x = 148,808.78 × 77,711.45
  4. Step 4: Simplify right side
    107,978.67x = 11,564,145,322.49
  5. Step 5: Solve for x
    x = 11,564,145,322.49/107,978.67
  6. Step 6: Final answer
    x = 107,096.57

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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.