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Finding the Fourth Proportional to 109,991.60, 164,987.24 and 39,870.80

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Solution

The fourth proportional to 109,991.60, 164,987.24 and 39,870.80 is: 59,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,991.60 : 164,987.24 = 39,870.80 : x
  2. Step 2: Convert to fraction form
    109,991.60/164,987.24 = 39,870.80/x
  3. Step 3: Cross multiply
    109,991.60x = 164,987.24 × 39,870.80
  4. Step 4: Simplify right side
    109,991.60x = 6,578,173,248.59
  5. Step 5: Solve for x
    x = 6,578,173,248.59/109,991.60
  6. Step 6: Final answer
    x = 59,806.14

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1.5x scale

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.