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Finding the Fourth Proportional to 191,775.72, 287,663.34 and 51,534.36

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Solution

The fourth proportional to 191,775.72, 287,663.34 and 51,534.36 is: 77,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,775.72 : 287,663.34 = 51,534.36 : x
  2. Step 2: Convert to fraction form
    191,775.72/287,663.34 = 51,534.36/x
  3. Step 3: Cross multiply
    191,775.72x = 287,663.34 × 51,534.36
  4. Step 4: Simplify right side
    191,775.72x = 14,824,546,122.36
  5. Step 5: Solve for x
    x = 14,824,546,122.36/191,775.72
  6. Step 6: Final answer
    x = 77,301.48

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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.