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Finding the Fourth Proportional to 149,689.64, 224,415.16 and 86,437.96

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Solution

The fourth proportional to 149,689.64, 224,415.16 and 86,437.96 is: 129,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,689.64 : 224,415.16 = 86,437.96 : x
  2. Step 2: Convert to fraction form
    149,689.64/224,415.16 = 86,437.96/x
  3. Step 3: Cross multiply
    149,689.64x = 224,415.16 × 86,437.96
  4. Step 4: Simplify right side
    149,689.64x = 19,397,988,623.47
  5. Step 5: Solve for x
    x = 19,397,988,623.47/149,689.64
  6. Step 6: Final answer
    x = 129,588.05

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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.