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Finding the Fourth Proportional to 102,586, 153,898.95 and 39,401.50

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Solution

The fourth proportional to 102,586, 153,898.95 and 39,401.50 is: 59,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586 : 153,898.95 = 39,401.50 : x
  2. Step 2: Convert to fraction form
    102,586/153,898.95 = 39,401.50/x
  3. Step 3: Cross multiply
    102,586x = 153,898.95 × 39,401.50
  4. Step 4: Simplify right side
    102,586x = 6,063,849,478.43
  5. Step 5: Solve for x
    x = 6,063,849,478.43/102,586
  6. Step 6: Final answer
    x = 59,109.91

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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.