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Finding the Fourth Proportional to 191,393.17, 286,896.76 and 120,366.56

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Solution

The fourth proportional to 191,393.17, 286,896.76 and 120,366.56 is: 180,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,393.17 : 286,896.76 = 120,366.56 : x
  2. Step 2: Convert to fraction form
    191,393.17/286,896.76 = 120,366.56/x
  3. Step 3: Cross multiply
    191,393.17x = 286,896.76 × 120,366.56
  4. Step 4: Simplify right side
    191,393.17x = 34,532,774,641.86
  5. Step 5: Solve for x
    x = 34,532,774,641.86/191,393.17
  6. Step 6: Final answer
    x = 180,428.46

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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.