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Finding the Fourth Proportional to 210,320.20, 315,566.70 and 77,264.20

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Solution

The fourth proportional to 210,320.20, 315,566.70 and 77,264.20 is: 115,928.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,320.20 : 315,566.70 = 77,264.20 : x
  2. Step 2: Convert to fraction form
    210,320.20/315,566.70 = 77,264.20/x
  3. Step 3: Cross multiply
    210,320.20x = 315,566.70 × 77,264.20
  4. Step 4: Simplify right side
    210,320.20x = 24,382,008,622.14
  5. Step 5: Solve for x
    x = 24,382,008,622.14/210,320.20
  6. Step 6: Final answer
    x = 115,928.04

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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.