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Finding the Fourth Proportional to 130,014, 195,021 and 31,518

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Solution

The fourth proportional to 130,014, 195,021 and 31,518 is: 47,277

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,014 : 195,021 = 31,518 : x
  2. Step 2: Convert to fraction form
    130,014/195,021 = 31,518/x
  3. Step 3: Cross multiply
    130,014x = 195,021 × 31,518
  4. Step 4: Simplify right side
    130,014x = 6,146,671,878
  5. Step 5: Solve for x
    x = 6,146,671,878/130,014
  6. Step 6: Final answer
    x = 47,277

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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.