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Finding the Fourth Proportional to 210,259.20, 315,475.20 and 77,203.20

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Solution

The fourth proportional to 210,259.20, 315,475.20 and 77,203.20 is: 115,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,259.20 : 315,475.20 = 77,203.20 : x
  2. Step 2: Convert to fraction form
    210,259.20/315,475.20 = 77,203.20/x
  3. Step 3: Cross multiply
    210,259.20x = 315,475.20 × 77,203.20
  4. Step 4: Simplify right side
    210,259.20x = 24,355,694,960.64
  5. Step 5: Solve for x
    x = 24,355,694,960.64/210,259.20
  6. Step 6: Final answer
    x = 115,836.52

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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.