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Finding the Fourth Proportional to 145,914.78, 218,765.60 and 98,411.80

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Solution

The fourth proportional to 145,914.78, 218,765.60 and 98,411.80 is: 147,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,914.78 : 218,765.60 = 98,411.80 : x
  2. Step 2: Convert to fraction form
    145,914.78/218,765.60 = 98,411.80/x
  3. Step 3: Cross multiply
    145,914.78x = 218,765.60 × 98,411.80
  4. Step 4: Simplify right side
    145,914.78x = 21,529,116,474.08
  5. Step 5: Solve for x
    x = 21,529,116,474.08/145,914.78
  6. Step 6: Final answer
    x = 147,545.82

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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.