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Finding the Fourth Proportional to 78,572.88, 117,856.13 and 19,407.06

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Solution

The fourth proportional to 78,572.88, 117,856.13 and 19,407.06 is: 29,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,572.88 : 117,856.13 = 19,407.06 : x
  2. Step 2: Convert to fraction form
    78,572.88/117,856.13 = 19,407.06/x
  3. Step 3: Cross multiply
    78,572.88x = 117,856.13 × 19,407.06
  4. Step 4: Simplify right side
    78,572.88x = 2,287,240,889.24
  5. Step 5: Solve for x
    x = 2,287,240,889.24/78,572.88
  6. Step 6: Final answer
    x = 29,109.80

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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.