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Finding the Fourth Proportional to 153,144, 211,351.68 and 86,088.96

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Solution

The fourth proportional to 153,144, 211,351.68 and 86,088.96 is: 118,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,144 : 211,351.68 = 86,088.96 : x
  2. Step 2: Convert to fraction form
    153,144/211,351.68 = 86,088.96/x
  3. Step 3: Cross multiply
    153,144x = 211,351.68 × 86,088.96
  4. Step 4: Simplify right side
    153,144x = 18,195,046,325.45
  5. Step 5: Solve for x
    x = 18,195,046,325.45/153,144
  6. Step 6: Final answer
    x = 118,810.05

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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.