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Finding the Fourth Proportional to 130,334, 195,502.92 and 31,838

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Solution

The fourth proportional to 130,334, 195,502.92 and 31,838 is: 47,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,334 : 195,502.92 = 31,838 : x
  2. Step 2: Convert to fraction form
    130,334/195,502.92 = 31,838/x
  3. Step 3: Cross multiply
    130,334x = 195,502.92 × 31,838
  4. Step 4: Simplify right side
    130,334x = 6,224,421,966.96
  5. Step 5: Solve for x
    x = 6,224,421,966.96/130,334
  6. Step 6: Final answer
    x = 47,757.47

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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.