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Finding the Fourth Proportional to 162,056.80, 243,085.20 and 139,895.20

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Solution

The fourth proportional to 162,056.80, 243,085.20 and 139,895.20 is: 209,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,056.80 : 243,085.20 = 139,895.20 : x
  2. Step 2: Convert to fraction form
    162,056.80/243,085.20 = 139,895.20/x
  3. Step 3: Cross multiply
    162,056.80x = 243,085.20 × 139,895.20
  4. Step 4: Simplify right side
    162,056.80x = 34,006,452,671.04
  5. Step 5: Solve for x
    x = 34,006,452,671.04/162,056.80
  6. Step 6: Final answer
    x = 209,842.80

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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.