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Finding the Fourth Proportional to 161,838.60, 242,498.70 and 102,568.20

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Solution

The fourth proportional to 161,838.60, 242,498.70 and 102,568.20 is: 153,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,838.60 : 242,498.70 = 102,568.20 : x
  2. Step 2: Convert to fraction form
    161,838.60/242,498.70 = 102,568.20/x
  3. Step 3: Cross multiply
    161,838.60x = 242,498.70 × 102,568.20
  4. Step 4: Simplify right side
    161,838.60x = 24,872,655,161.34
  5. Step 5: Solve for x
    x = 24,872,655,161.34/161,838.60
  6. Step 6: Final answer
    x = 153,688.03

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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.