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Finding the Fourth Proportional to 161,969.40, 242,775.90 and 56,734.20

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Solution

The fourth proportional to 161,969.40, 242,775.90 and 56,734.20 is: 85,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,969.40 : 242,775.90 = 56,734.20 : x
  2. Step 2: Convert to fraction form
    161,969.40/242,775.90 = 56,734.20/x
  3. Step 3: Cross multiply
    161,969.40x = 242,775.90 × 56,734.20
  4. Step 4: Simplify right side
    161,969.40x = 13,773,696,465.78
  5. Step 5: Solve for x
    x = 13,773,696,465.78/161,969.40
  6. Step 6: Final answer
    x = 85,038.88

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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.