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Finding the Fourth Proportional to 162,617.40, 243,822.02 and 78,209.46

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Solution

The fourth proportional to 162,617.40, 243,822.02 and 78,209.46 is: 117,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,617.40 : 243,822.02 = 78,209.46 : x
  2. Step 2: Convert to fraction form
    162,617.40/243,822.02 = 78,209.46/x
  3. Step 3: Cross multiply
    162,617.40x = 243,822.02 × 78,209.46
  4. Step 4: Simplify right side
    162,617.40x = 19,069,188,129.26
  5. Step 5: Solve for x
    x = 19,069,188,129.26/162,617.40
  6. Step 6: Final answer
    x = 117,264.13

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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.