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Finding the Fourth Proportional to 152,031.34, 209,785.08 and 84,039.14

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Solution

The fourth proportional to 152,031.34, 209,785.08 and 84,039.14 is: 115,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,031.34 : 209,785.08 = 84,039.14 : x
  2. Step 2: Convert to fraction form
    152,031.34/209,785.08 = 84,039.14/x
  3. Step 3: Cross multiply
    152,031.34x = 209,785.08 × 84,039.14
  4. Step 4: Simplify right side
    152,031.34x = 17,630,157,708.03
  5. Step 5: Solve for x
    x = 17,630,157,708.03/152,031.34
  6. Step 6: Final answer
    x = 115,963.97

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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.