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Finding the Fourth Proportional to 153,310.40, 211,568.02 and 86,242.40

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Solution

The fourth proportional to 153,310.40, 211,568.02 and 86,242.40 is: 119,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,310.40 : 211,568.02 = 86,242.40 : x
  2. Step 2: Convert to fraction form
    153,310.40/211,568.02 = 86,242.40/x
  3. Step 3: Cross multiply
    153,310.40x = 211,568.02 × 86,242.40
  4. Step 4: Simplify right side
    153,310.40x = 18,246,133,808.05
  5. Step 5: Solve for x
    x = 18,246,133,808.05/153,310.40
  6. Step 6: Final answer
    x = 119,014.33

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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.