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Finding the Fourth Proportional to 145,816, 201,226.12 and 78,748

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Solution

The fourth proportional to 145,816, 201,226.12 and 78,748 is: 108,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,816 : 201,226.12 = 78,748 : x
  2. Step 2: Convert to fraction form
    145,816/201,226.12 = 78,748/x
  3. Step 3: Cross multiply
    145,816x = 201,226.12 × 78,748
  4. Step 4: Simplify right side
    145,816x = 15,846,154,497.76
  5. Step 5: Solve for x
    x = 15,846,154,497.76/145,816
  6. Step 6: Final answer
    x = 108,672.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.