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Finding the Fourth Proportional to 98,273.28, 147,404.80 and 31,712.16

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Solution

The fourth proportional to 98,273.28, 147,404.80 and 31,712.16 is: 47,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,273.28 : 147,404.80 = 31,712.16 : x
  2. Step 2: Convert to fraction form
    98,273.28/147,404.80 = 31,712.16/x
  3. Step 3: Cross multiply
    98,273.28x = 147,404.80 × 31,712.16
  4. Step 4: Simplify right side
    98,273.28x = 4,674,524,602.37
  5. Step 5: Solve for x
    x = 4,674,524,602.37/98,273.28
  6. Step 6: Final answer
    x = 47,566.59

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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.