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Finding the Fourth Proportional to 153,714.42, 212,125.38 and 85,731.48

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Solution

The fourth proportional to 153,714.42, 212,125.38 and 85,731.48 is: 118,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,714.42 : 212,125.38 = 85,731.48 : x
  2. Step 2: Convert to fraction form
    153,714.42/212,125.38 = 85,731.48/x
  3. Step 3: Cross multiply
    153,714.42x = 212,125.38 × 85,731.48
  4. Step 4: Simplify right side
    153,714.42x = 18,185,822,772.96
  5. Step 5: Solve for x
    x = 18,185,822,772.96/153,714.42
  6. Step 6: Final answer
    x = 118,309.15

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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.