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Finding the Fourth Proportional to 153,714.39, 212,125.41 and 85,731.45

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Solution

The fourth proportional to 153,714.39, 212,125.41 and 85,731.45 is: 118,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,714.39 : 212,125.41 = 85,731.45 : x
  2. Step 2: Convert to fraction form
    153,714.39/212,125.41 = 85,731.45/x
  3. Step 3: Cross multiply
    153,714.39x = 212,125.41 × 85,731.45
  4. Step 4: Simplify right side
    153,714.39x = 18,185,818,981.14
  5. Step 5: Solve for x
    x = 18,185,818,981.14/153,714.39
  6. Step 6: Final answer
    x = 118,309.15

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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.