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Finding the Fourth Proportional to 210,632.40, 315,932.40 and 98,278.92

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Solution

The fourth proportional to 210,632.40, 315,932.40 and 98,278.92 is: 147,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,632.40 : 315,932.40 = 98,278.92 : x
  2. Step 2: Convert to fraction form
    210,632.40/315,932.40 = 98,278.92/x
  3. Step 3: Cross multiply
    210,632.40x = 315,932.40 × 98,278.92
  4. Step 4: Simplify right side
    210,632.40x = 31,049,495,065.01
  5. Step 5: Solve for x
    x = 31,049,495,065.01/210,632.40
  6. Step 6: Final answer
    x = 147,410.82

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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.