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Finding the Fourth Proportional to 66,140.42, 99,150.68 and 42,454.68

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Solution

The fourth proportional to 66,140.42, 99,150.68 and 42,454.68 is: 63,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,140.42 : 99,150.68 = 42,454.68 : x
  2. Step 2: Convert to fraction form
    66,140.42/99,150.68 = 42,454.68/x
  3. Step 3: Cross multiply
    66,140.42x = 99,150.68 × 42,454.68
  4. Step 4: Simplify right side
    66,140.42x = 4,209,410,683.23
  5. Step 5: Solve for x
    x = 4,209,410,683.23/66,140.42
  6. Step 6: Final answer
    x = 63,643.54

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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.