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Finding the Fourth Proportional to 117,738, 162,478.44 and 64,746

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Solution

The fourth proportional to 117,738, 162,478.44 and 64,746 is: 89,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,738 : 162,478.44 = 64,746 : x
  2. Step 2: Convert to fraction form
    117,738/162,478.44 = 64,746/x
  3. Step 3: Cross multiply
    117,738x = 162,478.44 × 64,746
  4. Step 4: Simplify right side
    117,738x = 10,519,829,076.24
  5. Step 5: Solve for x
    x = 10,519,829,076.24/117,738
  6. Step 6: Final answer
    x = 89,349.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.