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Finding the Fourth Proportional to 104,302.30, 156,502.05 and 78,058.30

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Solution

The fourth proportional to 104,302.30, 156,502.05 and 78,058.30 is: 117,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,302.30 : 156,502.05 = 78,058.30 : x
  2. Step 2: Convert to fraction form
    104,302.30/156,502.05 = 78,058.30/x
  3. Step 3: Cross multiply
    104,302.30x = 156,502.05 × 78,058.30
  4. Step 4: Simplify right side
    104,302.30x = 12,216,283,969.52
  5. Step 5: Solve for x
    x = 12,216,283,969.52/104,302.30
  6. Step 6: Final answer
    x = 117,123.82

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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.