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Finding the Fourth Proportional to 191,423.94, 287,114.03 and 51,193.50

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Solution

The fourth proportional to 191,423.94, 287,114.03 and 51,193.50 is: 76,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,423.94 : 287,114.03 = 51,193.50 : x
  2. Step 2: Convert to fraction form
    191,423.94/287,114.03 = 51,193.50/x
  3. Step 3: Cross multiply
    191,423.94x = 287,114.03 × 51,193.50
  4. Step 4: Simplify right side
    191,423.94x = 14,698,372,094.81
  5. Step 5: Solve for x
    x = 14,698,372,094.81/191,423.94
  6. Step 6: Final answer
    x = 76,784.40

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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.