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Finding the Fourth Proportional to 521,108.32, 781,719.12 and 166,038.88

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Solution

The fourth proportional to 521,108.32, 781,719.12 and 166,038.88 is: 249,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,108.32 : 781,719.12 = 166,038.88 : x
  2. Step 2: Convert to fraction form
    521,108.32/781,719.12 = 166,038.88/x
  3. Step 3: Cross multiply
    521,108.32x = 781,719.12 × 166,038.88
  4. Step 4: Simplify right side
    521,108.32x = 129,795,767,159.39
  5. Step 5: Solve for x
    x = 129,795,767,159.39/521,108.32
  6. Step 6: Final answer
    x = 249,076.37

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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.