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Finding the Fourth Proportional to 102,648.80, 153,941.20 and 40,338.40

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Solution

The fourth proportional to 102,648.80, 153,941.20 and 40,338.40 is: 60,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,648.80 : 153,941.20 = 40,338.40 : x
  2. Step 2: Convert to fraction form
    102,648.80/153,941.20 = 40,338.40/x
  3. Step 3: Cross multiply
    102,648.80x = 153,941.20 × 40,338.40
  4. Step 4: Simplify right side
    102,648.80x = 6,209,741,702.08
  5. Step 5: Solve for x
    x = 6,209,741,702.08/102,648.80
  6. Step 6: Final answer
    x = 60,495.02

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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.