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Finding the Fourth Proportional to 102,098.84, 153,148.26 and 31,983.64

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Solution

The fourth proportional to 102,098.84, 153,148.26 and 31,983.64 is: 47,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098.84 : 153,148.26 = 31,983.64 : x
  2. Step 2: Convert to fraction form
    102,098.84/153,148.26 = 31,983.64/x
  3. Step 3: Cross multiply
    102,098.84x = 153,148.26 × 31,983.64
  4. Step 4: Simplify right side
    102,098.84x = 4,898,238,814.47
  5. Step 5: Solve for x
    x = 4,898,238,814.47/102,098.84
  6. Step 6: Final answer
    x = 47,975.46

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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.