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Finding the Fourth Proportional to 130,428, 195,645.84 and 31,932

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Solution

The fourth proportional to 130,428, 195,645.84 and 31,932 is: 47,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,428 : 195,645.84 = 31,932 : x
  2. Step 2: Convert to fraction form
    130,428/195,645.84 = 31,932/x
  3. Step 3: Cross multiply
    130,428x = 195,645.84 × 31,932
  4. Step 4: Simplify right side
    130,428x = 6,247,362,962.88
  5. Step 5: Solve for x
    x = 6,247,362,962.88/130,428
  6. Step 6: Final answer
    x = 47,898.94

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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.