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Finding the Fourth Proportional to 152,909.08, 210,999.08 and 89,283.78

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Solution

The fourth proportional to 152,909.08, 210,999.08 and 89,283.78 is: 123,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,909.08 : 210,999.08 = 89,283.78 : x
  2. Step 2: Convert to fraction form
    152,909.08/210,999.08 = 89,283.78/x
  3. Step 3: Cross multiply
    152,909.08x = 210,999.08 × 89,283.78
  4. Step 4: Simplify right side
    152,909.08x = 18,838,795,662.13
  5. Step 5: Solve for x
    x = 18,838,795,662.13/152,909.08
  6. Step 6: Final answer
    x = 123,202.60

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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.