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Finding the Fourth Proportional to 101,889.09, 152,784.48 and 42,708.87

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Solution

The fourth proportional to 101,889.09, 152,784.48 and 42,708.87 is: 64,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,889.09 : 152,784.48 = 42,708.87 : x
  2. Step 2: Convert to fraction form
    101,889.09/152,784.48 = 42,708.87/x
  3. Step 3: Cross multiply
    101,889.09x = 152,784.48 × 42,708.87
  4. Step 4: Simplify right side
    101,889.09x = 6,525,252,494.34
  5. Step 5: Solve for x
    x = 6,525,252,494.34/101,889.09
  6. Step 6: Final answer
    x = 64,042.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.