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Finding the Fourth Proportional to 161,954.40, 242,931.60 and 140,303.10

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Solution

The fourth proportional to 161,954.40, 242,931.60 and 140,303.10 is: 210,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,954.40 : 242,931.60 = 140,303.10 : x
  2. Step 2: Convert to fraction form
    161,954.40/242,931.60 = 140,303.10/x
  3. Step 3: Cross multiply
    161,954.40x = 242,931.60 × 140,303.10
  4. Step 4: Simplify right side
    161,954.40x = 34,084,056,567.96
  5. Step 5: Solve for x
    x = 34,084,056,567.96/161,954.40
  6. Step 6: Final answer
    x = 210,454.65

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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.