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Finding the Fourth Proportional to 210,873.20, 315,925.80 and 99,820.40

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Solution

The fourth proportional to 210,873.20, 315,925.80 and 99,820.40 is: 149,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,873.20 : 315,925.80 = 99,820.40 : x
  2. Step 2: Convert to fraction form
    210,873.20/315,925.80 = 99,820.40/x
  3. Step 3: Cross multiply
    210,873.20x = 315,925.80 × 99,820.40
  4. Step 4: Simplify right side
    210,873.20x = 31,535,839,726.32
  5. Step 5: Solve for x
    x = 31,535,839,726.32/210,873.20
  6. Step 6: Final answer
    x = 149,548.83

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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.