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Finding the Fourth Proportional to 210,089.54, 315,052.08 and 73,278.10

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Solution

The fourth proportional to 210,089.54, 315,052.08 and 73,278.10 is: 109,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,089.54 : 315,052.08 = 73,278.10 : x
  2. Step 2: Convert to fraction form
    210,089.54/315,052.08 = 73,278.10/x
  3. Step 3: Cross multiply
    210,089.54x = 315,052.08 × 73,278.10
  4. Step 4: Simplify right side
    210,089.54x = 23,086,417,823.45
  5. Step 5: Solve for x
    x = 23,086,417,823.45/210,089.54
  6. Step 6: Final answer
    x = 109,888.47

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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.