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Finding the Fourth Proportional to 145,476.77, 217,808.84 and 78,677.57

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Solution

The fourth proportional to 145,476.77, 217,808.84 and 78,677.57 is: 117,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,476.77 : 217,808.84 = 78,677.57 : x
  2. Step 2: Convert to fraction form
    145,476.77/217,808.84 = 78,677.57/x
  3. Step 3: Cross multiply
    145,476.77x = 217,808.84 × 78,677.57
  4. Step 4: Simplify right side
    145,476.77x = 17,136,669,862.33
  5. Step 5: Solve for x
    x = 17,136,669,862.33/145,476.77
  6. Step 6: Final answer
    x = 117,796.61

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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.