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Finding the Fourth Proportional to 210,113.83, 315,024.94 and 76,975.75

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Solution

The fourth proportional to 210,113.83, 315,024.94 and 76,975.75 is: 115,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,113.83 : 315,024.94 = 76,975.75 : x
  2. Step 2: Convert to fraction form
    210,113.83/315,024.94 = 76,975.75/x
  3. Step 3: Cross multiply
    210,113.83x = 315,024.94 × 76,975.75
  4. Step 4: Simplify right side
    210,113.83x = 24,249,281,025.21
  5. Step 5: Solve for x
    x = 24,249,281,025.21/210,113.83
  6. Step 6: Final answer
    x = 115,410.21

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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.