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Finding the Fourth Proportional to 140,907.60, 211,342.20 and 42,411.60

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Solution

The fourth proportional to 140,907.60, 211,342.20 and 42,411.60 is: 63,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,907.60 : 211,342.20 = 42,411.60 : x
  2. Step 2: Convert to fraction form
    140,907.60/211,342.20 = 42,411.60/x
  3. Step 3: Cross multiply
    140,907.60x = 211,342.20 × 42,411.60
  4. Step 4: Simplify right side
    140,907.60x = 8,963,360,849.52
  5. Step 5: Solve for x
    x = 8,963,360,849.52/140,907.60
  6. Step 6: Final answer
    x = 63,611.62

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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.