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Finding the Fourth Proportional to 109,312.60, 164,041.80 and 50,117.80

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Solution

The fourth proportional to 109,312.60, 164,041.80 and 50,117.80 is: 75,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,312.60 : 164,041.80 = 50,117.80 : x
  2. Step 2: Convert to fraction form
    109,312.60/164,041.80 = 50,117.80/x
  3. Step 3: Cross multiply
    109,312.60x = 164,041.80 × 50,117.80
  4. Step 4: Simplify right side
    109,312.60x = 8,221,414,124.04
  5. Step 5: Solve for x
    x = 8,221,414,124.04/109,312.60
  6. Step 6: Final answer
    x = 75,210.12

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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.