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Finding the Fourth Proportional to 145,612, 218,417.82 and 45,780.94

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Solution

The fourth proportional to 145,612, 218,417.82 and 45,780.94 is: 68,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,612 : 218,417.82 = 45,780.94 : x
  2. Step 2: Convert to fraction form
    145,612/218,417.82 = 45,780.94/x
  3. Step 3: Cross multiply
    145,612x = 218,417.82 × 45,780.94
  4. Step 4: Simplify right side
    145,612x = 9,999,373,112.35
  5. Step 5: Solve for x
    x = 9,999,373,112.35/145,612
  6. Step 6: Final answer
    x = 68,671.35

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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.