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Finding the Fourth Proportional to 210,420.48, 315,631.56 and 52,648.50

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Solution

The fourth proportional to 210,420.48, 315,631.56 and 52,648.50 is: 78,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,420.48 : 315,631.56 = 52,648.50 : x
  2. Step 2: Convert to fraction form
    210,420.48/315,631.56 = 52,648.50/x
  3. Step 3: Cross multiply
    210,420.48x = 315,631.56 × 52,648.50
  4. Step 4: Simplify right side
    210,420.48x = 16,617,528,186.66
  5. Step 5: Solve for x
    x = 16,617,528,186.66/210,420.48
  6. Step 6: Final answer
    x = 78,972.96

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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.