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Finding the Fourth Proportional to 107,980.67, 148,811.54 and 77,713.45

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Solution

The fourth proportional to 107,980.67, 148,811.54 and 77,713.45 is: 107,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,980.67 : 148,811.54 = 77,713.45 : x
  2. Step 2: Convert to fraction form
    107,980.67/148,811.54 = 77,713.45/x
  3. Step 3: Cross multiply
    107,980.67x = 148,811.54 × 77,713.45
  4. Step 4: Simplify right side
    107,980.67x = 11,564,658,173.21
  5. Step 5: Solve for x
    x = 11,564,658,173.21/107,980.67
  6. Step 6: Final answer
    x = 107,099.34

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1.5x scale

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.