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Finding the Fourth Proportional to 98,595.78, 147,913.58 and 31,138.36

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Solution

The fourth proportional to 98,595.78, 147,913.58 and 31,138.36 is: 46,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,595.78 : 147,913.58 = 31,138.36 : x
  2. Step 2: Convert to fraction form
    98,595.78/147,913.58 = 31,138.36/x
  3. Step 3: Cross multiply
    98,595.78x = 147,913.58 × 31,138.36
  4. Step 4: Simplify right side
    98,595.78x = 4,605,786,302.93
  5. Step 5: Solve for x
    x = 4,605,786,302.93/98,595.78
  6. Step 6: Final answer
    x = 46,713.83

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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.