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Finding the Fourth Proportional to 78,037.52, 117,061.58 and 27,430.40

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Solution

The fourth proportional to 78,037.52, 117,061.58 and 27,430.40 is: 41,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,037.52 : 117,061.58 = 27,430.40 : x
  2. Step 2: Convert to fraction form
    78,037.52/117,061.58 = 27,430.40/x
  3. Step 3: Cross multiply
    78,037.52x = 117,061.58 × 27,430.40
  4. Step 4: Simplify right side
    78,037.52x = 3,211,045,826.88
  5. Step 5: Solve for x
    x = 3,211,045,826.88/78,037.52
  6. Step 6: Final answer
    x = 41,147.46

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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.