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Finding the Fourth Proportional to 145,203.31, 217,721.14 and 56,352.97

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Solution

The fourth proportional to 145,203.31, 217,721.14 and 56,352.97 is: 84,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,203.31 : 217,721.14 = 56,352.97 : x
  2. Step 2: Convert to fraction form
    145,203.31/217,721.14 = 56,352.97/x
  3. Step 3: Cross multiply
    145,203.31x = 217,721.14 × 56,352.97
  4. Step 4: Simplify right side
    145,203.31x = 12,269,232,870.79
  5. Step 5: Solve for x
    x = 12,269,232,870.79/145,203.31
  6. Step 6: Final answer
    x = 84,496.92

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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.