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Finding the Fourth Proportional to 107,698.68, 148,422.11 and 77,431.55

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Solution

The fourth proportional to 107,698.68, 148,422.11 and 77,431.55 is: 106,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,698.68 : 148,422.11 = 77,431.55 : x
  2. Step 2: Convert to fraction form
    107,698.68/148,422.11 = 77,431.55/x
  3. Step 3: Cross multiply
    107,698.68x = 148,422.11 × 77,431.55
  4. Step 4: Simplify right side
    107,698.68x = 11,492,552,902.30
  5. Step 5: Solve for x
    x = 11,492,552,902.30/107,698.68
  6. Step 6: Final answer
    x = 106,710.25

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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.