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Finding the Fourth Proportional to 145,881.54, 218,834.55 and 40,701.78

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Solution

The fourth proportional to 145,881.54, 218,834.55 and 40,701.78 is: 61,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,881.54 : 218,834.55 = 40,701.78 : x
  2. Step 2: Convert to fraction form
    145,881.54/218,834.55 = 40,701.78/x
  3. Step 3: Cross multiply
    145,881.54x = 218,834.55 × 40,701.78
  4. Step 4: Simplify right side
    145,881.54x = 8,906,955,710.50
  5. Step 5: Solve for x
    x = 8,906,955,710.50/145,881.54
  6. Step 6: Final answer
    x = 61,056.09

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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.