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Finding the Fourth Proportional to 162,616.51, 243,820.73 and 78,208.57

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Solution

The fourth proportional to 162,616.51, 243,820.73 and 78,208.57 is: 117,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,616.51 : 243,820.73 = 78,208.57 : x
  2. Step 2: Convert to fraction form
    162,616.51/243,820.73 = 78,208.57/x
  3. Step 3: Cross multiply
    162,616.51x = 243,820.73 × 78,208.57
  4. Step 4: Simplify right side
    162,616.51x = 19,068,871,129.95
  5. Step 5: Solve for x
    x = 19,068,871,129.95/162,616.51
  6. Step 6: Final answer
    x = 117,262.82

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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.