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Finding the Fourth Proportional to 139,819.84, 209,522.36 and 102,702.40

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Solution

The fourth proportional to 139,819.84, 209,522.36 and 102,702.40 is: 153,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,819.84 : 209,522.36 = 102,702.40 : x
  2. Step 2: Convert to fraction form
    139,819.84/209,522.36 = 102,702.40/x
  3. Step 3: Cross multiply
    139,819.84x = 209,522.36 × 102,702.40
  4. Step 4: Simplify right side
    139,819.84x = 21,518,449,225.66
  5. Step 5: Solve for x
    x = 21,518,449,225.66/139,819.84
  6. Step 6: Final answer
    x = 153,901.26

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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.