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Finding the Fourth Proportional to 153,165.64, 211,378.28 and 86,101.96

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Solution

The fourth proportional to 153,165.64, 211,378.28 and 86,101.96 is: 118,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,165.64 : 211,378.28 = 86,101.96 : x
  2. Step 2: Convert to fraction form
    153,165.64/211,378.28 = 86,101.96/x
  3. Step 3: Cross multiply
    153,165.64x = 211,378.28 × 86,101.96
  4. Step 4: Simplify right side
    153,165.64x = 18,200,084,209.43
  5. Step 5: Solve for x
    x = 18,200,084,209.43/153,165.64
  6. Step 6: Final answer
    x = 118,826.16

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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.