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Finding the Fourth Proportional to 180,956.79, 249,709.10 and 109,294.47

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Solution

The fourth proportional to 180,956.79, 249,709.10 and 109,294.47 is: 150,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,956.79 : 249,709.10 = 109,294.47 : x
  2. Step 2: Convert to fraction form
    180,956.79/249,709.10 = 109,294.47/x
  3. Step 3: Cross multiply
    180,956.79x = 249,709.10 × 109,294.47
  4. Step 4: Simplify right side
    180,956.79x = 27,291,823,192.20
  5. Step 5: Solve for x
    x = 27,291,823,192.20/180,956.79
  6. Step 6: Final answer
    x = 150,819.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.