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Finding the Fourth Proportional to 120,751.32, 166,669.74 and 78,307.32

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Solution

The fourth proportional to 120,751.32, 166,669.74 and 78,307.32 is: 108,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,751.32 : 166,669.74 = 78,307.32 : x
  2. Step 2: Convert to fraction form
    120,751.32/166,669.74 = 78,307.32/x
  3. Step 3: Cross multiply
    120,751.32x = 166,669.74 × 78,307.32
  4. Step 4: Simplify right side
    120,751.32x = 13,051,460,664.50
  5. Step 5: Solve for x
    x = 13,051,460,664.50/120,751.32
  6. Step 6: Final answer
    x = 108,085.45

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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.