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Finding the Fourth Proportional to 78,598.16, 117,739.32 and 39,035.60

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Solution

The fourth proportional to 78,598.16, 117,739.32 and 39,035.60 is: 58,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,598.16 : 117,739.32 = 39,035.60 : x
  2. Step 2: Convert to fraction form
    78,598.16/117,739.32 = 39,035.60/x
  3. Step 3: Cross multiply
    78,598.16x = 117,739.32 × 39,035.60
  4. Step 4: Simplify right side
    78,598.16x = 4,596,024,999.79
  5. Step 5: Solve for x
    x = 4,596,024,999.79/78,598.16
  6. Step 6: Final answer
    x = 58,474.97

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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.