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Finding the Fourth Proportional to 84,764.31, 116,978.40 and 47,038.56

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Solution

The fourth proportional to 84,764.31, 116,978.40 and 47,038.56 is: 64,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,764.31 : 116,978.40 = 47,038.56 : x
  2. Step 2: Convert to fraction form
    84,764.31/116,978.40 = 47,038.56/x
  3. Step 3: Cross multiply
    84,764.31x = 116,978.40 × 47,038.56
  4. Step 4: Simplify right side
    84,764.31x = 5,502,495,487.10
  5. Step 5: Solve for x
    x = 5,502,495,487.10/84,764.31
  6. Step 6: Final answer
    x = 64,915.24

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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.