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Finding the Fourth Proportional to 120,878.40, 166,802.44 and 69,894.40

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Solution

The fourth proportional to 120,878.40, 166,802.44 and 69,894.40 is: 96,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,878.40 : 166,802.44 = 69,894.40 : x
  2. Step 2: Convert to fraction form
    120,878.40/166,802.44 = 69,894.40/x
  3. Step 3: Cross multiply
    120,878.40x = 166,802.44 × 69,894.40
  4. Step 4: Simplify right side
    120,878.40x = 11,658,556,462.34
  5. Step 5: Solve for x
    x = 11,658,556,462.34/120,878.40
  6. Step 6: Final answer
    x = 96,448.63

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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.