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Finding the Fourth Proportional to 202,175, 278,911.32 and 117,242.88

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Solution

The fourth proportional to 202,175, 278,911.32 and 117,242.88 is: 161,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,175 : 278,911.32 = 117,242.88 : x
  2. Step 2: Convert to fraction form
    202,175/278,911.32 = 117,242.88/x
  3. Step 3: Cross multiply
    202,175x = 278,911.32 × 117,242.88
  4. Step 4: Simplify right side
    202,175x = 32,700,366,421.40
  5. Step 5: Solve for x
    x = 32,700,366,421.40/202,175
  6. Step 6: Final answer
    x = 161,742.88

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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.