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Finding the Fourth Proportional to 153,687.36, 212,089.49 and 85,708.64

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Solution

The fourth proportional to 153,687.36, 212,089.49 and 85,708.64 is: 118,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,687.36 : 212,089.49 = 85,708.64 : x
  2. Step 2: Convert to fraction form
    153,687.36/212,089.49 = 85,708.64/x
  3. Step 3: Cross multiply
    153,687.36x = 212,089.49 × 85,708.64
  4. Step 4: Simplify right side
    153,687.36x = 18,177,901,746.19
  5. Step 5: Solve for x
    x = 18,177,901,746.19/153,687.36
  6. Step 6: Final answer
    x = 118,278.44

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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.