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Finding the Fourth Proportional to 149,686.56, 224,410.59 and 86,435.01

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Solution

The fourth proportional to 149,686.56, 224,410.59 and 86,435.01 is: 129,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,686.56 : 224,410.59 = 86,435.01 : x
  2. Step 2: Convert to fraction form
    149,686.56/224,410.59 = 86,435.01/x
  3. Step 3: Cross multiply
    149,686.56x = 224,410.59 × 86,435.01
  4. Step 4: Simplify right side
    149,686.56x = 19,396,931,590.76
  5. Step 5: Solve for x
    x = 19,396,931,590.76/149,686.56
  6. Step 6: Final answer
    x = 129,583.66

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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.