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Finding the Fourth Proportional to 205,210.96, 308,283.48 and 148,459.90

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Solution

The fourth proportional to 205,210.96, 308,283.48 and 148,459.90 is: 223,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,210.96 : 308,283.48 = 148,459.90 : x
  2. Step 2: Convert to fraction form
    205,210.96/308,283.48 = 148,459.90/x
  3. Step 3: Cross multiply
    205,210.96x = 308,283.48 × 148,459.90
  4. Step 4: Simplify right side
    205,210.96x = 45,767,734,612.45
  5. Step 5: Solve for x
    x = 45,767,734,612.45/205,210.96
  6. Step 6: Final answer
    x = 223,027.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.