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Finding the Fourth Proportional to 121,454.30, 167,607.16 and 67,742.78

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Solution

The fourth proportional to 121,454.30, 167,607.16 and 67,742.78 is: 93,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,454.30 : 167,607.16 = 67,742.78 : x
  2. Step 2: Convert to fraction form
    121,454.30/167,607.16 = 67,742.78/x
  3. Step 3: Cross multiply
    121,454.30x = 167,607.16 × 67,742.78
  4. Step 4: Simplify right side
    121,454.30x = 11,354,174,966.30
  5. Step 5: Solve for x
    x = 11,354,174,966.30/121,454.30
  6. Step 6: Final answer
    x = 93,485.16

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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.