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Finding the Fourth Proportional to 117,105.66, 175,638.48 and 42,210.90

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Solution

The fourth proportional to 117,105.66, 175,638.48 and 42,210.90 is: 63,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,105.66 : 175,638.48 = 42,210.90 : x
  2. Step 2: Convert to fraction form
    117,105.66/175,638.48 = 42,210.90/x
  3. Step 3: Cross multiply
    117,105.66x = 175,638.48 × 42,210.90
  4. Step 4: Simplify right side
    117,105.66x = 7,413,858,315.43
  5. Step 5: Solve for x
    x = 7,413,858,315.43/117,105.66
  6. Step 6: Final answer
    x = 63,309.14

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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.