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Finding the Fourth Proportional to 121,710, 182,565 and 38,604

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Solution

The fourth proportional to 121,710, 182,565 and 38,604 is: 57,906

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,710 : 182,565 = 38,604 : x
  2. Step 2: Convert to fraction form
    121,710/182,565 = 38,604/x
  3. Step 3: Cross multiply
    121,710x = 182,565 × 38,604
  4. Step 4: Simplify right side
    121,710x = 7,047,739,260
  5. Step 5: Solve for x
    x = 7,047,739,260/121,710
  6. Step 6: Final answer
    x = 57,906

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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.