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Finding the Fourth Proportional to 145,856.16, 218,492.41 and 115,920.91

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Solution

The fourth proportional to 145,856.16, 218,492.41 and 115,920.91 is: 173,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856.16 : 218,492.41 = 115,920.91 : x
  2. Step 2: Convert to fraction form
    145,856.16/218,492.41 = 115,920.91/x
  3. Step 3: Cross multiply
    145,856.16x = 218,492.41 × 115,920.91
  4. Step 4: Simplify right side
    145,856.16x = 25,327,838,481.17
  5. Step 5: Solve for x
    x = 25,327,838,481.17/145,856.16
  6. Step 6: Final answer
    x = 173,649.43

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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.