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Finding the Fourth Proportional to 142,722.76, 214,075.90 and 42,880.76

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Solution

The fourth proportional to 142,722.76, 214,075.90 and 42,880.76 is: 64,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722.76 : 214,075.90 = 42,880.76 : x
  2. Step 2: Convert to fraction form
    142,722.76/214,075.90 = 42,880.76/x
  3. Step 3: Cross multiply
    142,722.76x = 214,075.90 × 42,880.76
  4. Step 4: Simplify right side
    142,722.76x = 9,179,737,289.68
  5. Step 5: Solve for x
    x = 9,179,737,289.68/142,722.76
  6. Step 6: Final answer
    x = 64,318.66

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1.5x scale

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.