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Finding the Fourth Proportional to 145,220.13, 217,822.32 and 45,368.82

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Solution

The fourth proportional to 145,220.13, 217,822.32 and 45,368.82 is: 68,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,220.13 : 217,822.32 = 45,368.82 : x
  2. Step 2: Convert to fraction form
    145,220.13/217,822.32 = 45,368.82/x
  3. Step 3: Cross multiply
    145,220.13x = 217,822.32 × 45,368.82
  4. Step 4: Simplify right side
    145,220.13x = 9,882,341,628.06
  5. Step 5: Solve for x
    x = 9,882,341,628.06/145,220.13
  6. Step 6: Final answer
    x = 68,050.77

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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.