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Finding the Fourth Proportional to 145,629, 218,443.14 and 83,255.76

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Solution

The fourth proportional to 145,629, 218,443.14 and 83,255.76 is: 124,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,629 : 218,443.14 = 83,255.76 : x
  2. Step 2: Convert to fraction form
    145,629/218,443.14 = 83,255.76/x
  3. Step 3: Cross multiply
    145,629x = 218,443.14 × 83,255.76
  4. Step 4: Simplify right side
    145,629x = 18,186,649,637.49
  5. Step 5: Solve for x
    x = 18,186,649,637.49/145,629
  6. Step 6: Final answer
    x = 124,883.43

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1.5x scale

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.