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Finding the Fourth Proportional to 161,435.60, 242,038.20 and 72,616.40

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Solution

The fourth proportional to 161,435.60, 242,038.20 and 72,616.40 is: 108,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,435.60 : 242,038.20 = 72,616.40 : x
  2. Step 2: Convert to fraction form
    161,435.60/242,038.20 = 72,616.40/x
  3. Step 3: Cross multiply
    161,435.60x = 242,038.20 × 72,616.40
  4. Step 4: Simplify right side
    161,435.60x = 17,575,942,746.48
  5. Step 5: Solve for x
    x = 17,575,942,746.48/161,435.60
  6. Step 6: Final answer
    x = 108,872.78

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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.