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Finding the Fourth Proportional to 157,117.34, 235,712.91 and 51,936.31

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Solution

The fourth proportional to 157,117.34, 235,712.91 and 51,936.31 is: 77,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,117.34 : 235,712.91 = 51,936.31 : x
  2. Step 2: Convert to fraction form
    157,117.34/235,712.91 = 51,936.31/x
  3. Step 3: Cross multiply
    157,117.34x = 235,712.91 × 51,936.31
  4. Step 4: Simplify right side
    157,117.34x = 12,242,057,586.20
  5. Step 5: Solve for x
    x = 12,242,057,586.20/157,117.34
  6. Step 6: Final answer
    x = 77,916.66

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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.