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Finding the Fourth Proportional to 144,321, 216,480.96 and 39,139.80

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Solution

The fourth proportional to 144,321, 216,480.96 and 39,139.80 is: 58,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,321 : 216,480.96 = 39,139.80 : x
  2. Step 2: Convert to fraction form
    144,321/216,480.96 = 39,139.80/x
  3. Step 3: Cross multiply
    144,321x = 216,480.96 × 39,139.80
  4. Step 4: Simplify right side
    144,321x = 8,473,021,478.21
  5. Step 5: Solve for x
    x = 8,473,021,478.21/144,321
  6. Step 6: Final answer
    x = 58,709.55

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1.5x scale

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.