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Finding the Fourth Proportional to 243,142.26, 335,714.12 and 157,152.16

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Solution

The fourth proportional to 243,142.26, 335,714.12 and 157,152.16 is: 216,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,142.26 : 335,714.12 = 157,152.16 : x
  2. Step 2: Convert to fraction form
    243,142.26/335,714.12 = 157,152.16/x
  3. Step 3: Cross multiply
    243,142.26x = 335,714.12 × 157,152.16
  4. Step 4: Simplify right side
    243,142.26x = 52,758,199,100.50
  5. Step 5: Solve for x
    x = 52,758,199,100.50/243,142.26
  6. Step 6: Final answer
    x = 216,984.90

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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.