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Finding the Fourth Proportional to 142,153.88, 212,767.88 and 104,699.20

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Solution

The fourth proportional to 142,153.88, 212,767.88 and 104,699.20 is: 156,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,153.88 : 212,767.88 = 104,699.20 : x
  2. Step 2: Convert to fraction form
    142,153.88/212,767.88 = 104,699.20/x
  3. Step 3: Cross multiply
    142,153.88x = 212,767.88 × 104,699.20
  4. Step 4: Simplify right side
    142,153.88x = 22,276,626,821.70
  5. Step 5: Solve for x
    x = 22,276,626,821.70/142,153.88
  6. Step 6: Final answer
    x = 156,707.84

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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.