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Finding the Fourth Proportional to 144,047.76, 216,083.18 and 38,865.21

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Solution

The fourth proportional to 144,047.76, 216,083.18 and 38,865.21 is: 58,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,047.76 : 216,083.18 = 38,865.21 : x
  2. Step 2: Convert to fraction form
    144,047.76/216,083.18 = 38,865.21/x
  3. Step 3: Cross multiply
    144,047.76x = 216,083.18 × 38,865.21
  4. Step 4: Simplify right side
    144,047.76x = 8,398,118,168.17
  5. Step 5: Solve for x
    x = 8,398,118,168.17/144,047.76
  6. Step 6: Final answer
    x = 58,300.93

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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.