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Finding the Fourth Proportional to 138,153.72, 190,449.12 and 97,742.88

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Solution

The fourth proportional to 138,153.72, 190,449.12 and 97,742.88 is: 134,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,153.72 : 190,449.12 = 97,742.88 : x
  2. Step 2: Convert to fraction form
    138,153.72/190,449.12 = 97,742.88/x
  3. Step 3: Cross multiply
    138,153.72x = 190,449.12 × 97,742.88
  4. Step 4: Simplify right side
    138,153.72x = 18,615,045,482.27
  5. Step 5: Solve for x
    x = 18,615,045,482.27/138,153.72
  6. Step 6: Final answer
    x = 134,741.54

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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.