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Finding the Fourth Proportional to 146,999.70, 219,981.15 and 102,417.30

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Solution

The fourth proportional to 146,999.70, 219,981.15 and 102,417.30 is: 153,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,999.70 : 219,981.15 = 102,417.30 : x
  2. Step 2: Convert to fraction form
    146,999.70/219,981.15 = 102,417.30/x
  3. Step 3: Cross multiply
    146,999.70x = 219,981.15 × 102,417.30
  4. Step 4: Simplify right side
    146,999.70x = 22,529,875,433.90
  5. Step 5: Solve for x
    x = 22,529,875,433.90/146,999.70
  6. Step 6: Final answer
    x = 153,264.77

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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.