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Finding the Fourth Proportional to 85,298.50, 128,006.07 and 29,894.50

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Solution

The fourth proportional to 85,298.50, 128,006.07 and 29,894.50 is: 44,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,298.50 : 128,006.07 = 29,894.50 : x
  2. Step 2: Convert to fraction form
    85,298.50/128,006.07 = 29,894.50/x
  3. Step 3: Cross multiply
    85,298.50x = 128,006.07 × 29,894.50
  4. Step 4: Simplify right side
    85,298.50x = 3,826,677,459.62
  5. Step 5: Solve for x
    x = 3,826,677,459.62/85,298.50
  6. Step 6: Final answer
    x = 44,862.19

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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.