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Finding the Fourth Proportional to 145,674.23, 218,715.79 and 74,647.91

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Solution

The fourth proportional to 145,674.23, 218,715.79 and 74,647.91 is: 112,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,674.23 : 218,715.79 = 74,647.91 : x
  2. Step 2: Convert to fraction form
    145,674.23/218,715.79 = 74,647.91/x
  3. Step 3: Cross multiply
    145,674.23x = 218,715.79 × 74,647.91
  4. Step 4: Simplify right side
    145,674.23x = 16,326,676,607.50
  5. Step 5: Solve for x
    x = 16,326,676,607.50/145,674.23
  6. Step 6: Final answer
    x = 112,076.63

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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.