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Finding the Fourth Proportional to 210,009.20, 314,977.35 and 76,820.90

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Solution

The fourth proportional to 210,009.20, 314,977.35 and 76,820.90 is: 115,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.20 : 314,977.35 = 76,820.90 : x
  2. Step 2: Convert to fraction form
    210,009.20/314,977.35 = 76,820.90/x
  3. Step 3: Cross multiply
    210,009.20x = 314,977.35 × 76,820.90
  4. Step 4: Simplify right side
    210,009.20x = 24,196,843,506.62
  5. Step 5: Solve for x
    x = 24,196,843,506.62/210,009.20
  6. Step 6: Final answer
    x = 115,218.02

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1.5x scale

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.