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Finding the Fourth Proportional to 106,618.80, 159,782.40 and 70,978.80

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Solution

The fourth proportional to 106,618.80, 159,782.40 and 70,978.80 is: 106,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,618.80 : 159,782.40 = 70,978.80 : x
  2. Step 2: Convert to fraction form
    106,618.80/159,782.40 = 70,978.80/x
  3. Step 3: Cross multiply
    106,618.80x = 159,782.40 × 70,978.80
  4. Step 4: Simplify right side
    106,618.80x = 11,341,163,013.12
  5. Step 5: Solve for x
    x = 11,341,163,013.12/106,618.80
  6. Step 6: Final answer
    x = 106,371.14

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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.