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Finding the Fourth Proportional to 145,814.80, 218,981.40 and 106,416.40

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Solution

The fourth proportional to 145,814.80, 218,981.40 and 106,416.40 is: 159,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,814.80 : 218,981.40 = 106,416.40 : x
  2. Step 2: Convert to fraction form
    145,814.80/218,981.40 = 106,416.40/x
  3. Step 3: Cross multiply
    145,814.80x = 218,981.40 × 106,416.40
  4. Step 4: Simplify right side
    145,814.80x = 23,303,212,254.96
  5. Step 5: Solve for x
    x = 23,303,212,254.96/145,814.80
  6. Step 6: Final answer
    x = 159,813.77

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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.