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Finding the Fourth Proportional to 103,265.80, 154,767.47 and 56,464

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Solution

The fourth proportional to 103,265.80, 154,767.47 and 56,464 is: 84,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,265.80 : 154,767.47 = 56,464 : x
  2. Step 2: Convert to fraction form
    103,265.80/154,767.47 = 56,464/x
  3. Step 3: Cross multiply
    103,265.80x = 154,767.47 × 56,464
  4. Step 4: Simplify right side
    103,265.80x = 8,738,790,426.08
  5. Step 5: Solve for x
    x = 8,738,790,426.08/103,265.80
  6. Step 6: Final answer
    x = 84,624.25

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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.