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Finding the Fourth Proportional to 153,809.52, 212,257.12 and 86,741.52

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Solution

The fourth proportional to 153,809.52, 212,257.12 and 86,741.52 is: 119,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,809.52 : 212,257.12 = 86,741.52 : x
  2. Step 2: Convert to fraction form
    153,809.52/212,257.12 = 86,741.52/x
  3. Step 3: Cross multiply
    153,809.52x = 212,257.12 × 86,741.52
  4. Step 4: Simplify right side
    153,809.52x = 18,411,505,219.62
  5. Step 5: Solve for x
    x = 18,411,505,219.62/153,809.52
  6. Step 6: Final answer
    x = 119,703.29

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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.