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Finding the Fourth Proportional to 77,200.55, 115,720.54 and 29,848.16

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Solution

The fourth proportional to 77,200.55, 115,720.54 and 29,848.16 is: 44,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,200.55 : 115,720.54 = 29,848.16 : x
  2. Step 2: Convert to fraction form
    77,200.55/115,720.54 = 29,848.16/x
  3. Step 3: Cross multiply
    77,200.55x = 115,720.54 × 29,848.16
  4. Step 4: Simplify right side
    77,200.55x = 3,454,045,193.21
  5. Step 5: Solve for x
    x = 3,454,045,193.21/77,200.55
  6. Step 6: Final answer
    x = 44,741.20

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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.