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Finding the Fourth Proportional to 191,407.84, 287,111.76 and 51,167.20

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Solution

The fourth proportional to 191,407.84, 287,111.76 and 51,167.20 is: 76,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,407.84 : 287,111.76 = 51,167.20 : x
  2. Step 2: Convert to fraction form
    191,407.84/287,111.76 = 51,167.20/x
  3. Step 3: Cross multiply
    191,407.84x = 287,111.76 × 51,167.20
  4. Step 4: Simplify right side
    191,407.84x = 14,690,704,846.27
  5. Step 5: Solve for x
    x = 14,690,704,846.27/191,407.84
  6. Step 6: Final answer
    x = 76,750.80

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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.