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Finding the Fourth Proportional to 145,733.80, 218,600.70 and 83,410.60

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Solution

The fourth proportional to 145,733.80, 218,600.70 and 83,410.60 is: 125,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,733.80 : 218,600.70 = 83,410.60 : x
  2. Step 2: Convert to fraction form
    145,733.80/218,600.70 = 83,410.60/x
  3. Step 3: Cross multiply
    145,733.80x = 218,600.70 × 83,410.60
  4. Step 4: Simplify right side
    145,733.80x = 18,233,615,547.42
  5. Step 5: Solve for x
    x = 18,233,615,547.42/145,733.80
  6. Step 6: Final answer
    x = 125,115.90

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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.