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Finding the Fourth Proportional to 78,426, 117,586.99 and 28,500.17

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Solution

The fourth proportional to 78,426, 117,586.99 and 28,500.17 is: 42,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,426 : 117,586.99 = 28,500.17 : x
  2. Step 2: Convert to fraction form
    78,426/117,586.99 = 28,500.17/x
  3. Step 3: Cross multiply
    78,426x = 117,586.99 × 28,500.17
  4. Step 4: Simplify right side
    78,426x = 3,351,248,545.60
  5. Step 5: Solve for x
    x = 3,351,248,545.60/78,426
  6. Step 6: Final answer
    x = 42,731.35

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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.