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Finding the Fourth Proportional to 52,596.70, 78,856.65 and 21,415.90

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Solution

The fourth proportional to 52,596.70, 78,856.65 and 21,415.90 is: 32,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,596.70 : 78,856.65 = 21,415.90 : x
  2. Step 2: Convert to fraction form
    52,596.70/78,856.65 = 21,415.90/x
  3. Step 3: Cross multiply
    52,596.70x = 78,856.65 × 21,415.90
  4. Step 4: Simplify right side
    52,596.70x = 1,688,786,130.74
  5. Step 5: Solve for x
    x = 1,688,786,130.74/52,596.70
  6. Step 6: Final answer
    x = 32,108.21

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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.