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Finding the Fourth Proportional to 145,870.56, 218,718.36 and 66,885.84

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Solution

The fourth proportional to 145,870.56, 218,718.36 and 66,885.84 is: 100,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,870.56 : 218,718.36 = 66,885.84 : x
  2. Step 2: Convert to fraction form
    145,870.56/218,718.36 = 66,885.84/x
  3. Step 3: Cross multiply
    145,870.56x = 218,718.36 × 66,885.84
  4. Step 4: Simplify right side
    145,870.56x = 14,629,161,232.02
  5. Step 5: Solve for x
    x = 14,629,161,232.02/145,870.56
  6. Step 6: Final answer
    x = 100,288.65

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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.