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Finding the Fourth Proportional to 77,762.30, 116,643.45 and 52,879.10

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Solution

The fourth proportional to 77,762.30, 116,643.45 and 52,879.10 is: 79,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762.30 : 116,643.45 = 52,879.10 : x
  2. Step 2: Convert to fraction form
    77,762.30/116,643.45 = 52,879.10/x
  3. Step 3: Cross multiply
    77,762.30x = 116,643.45 × 52,879.10
  4. Step 4: Simplify right side
    77,762.30x = 6,168,000,656.90
  5. Step 5: Solve for x
    x = 6,168,000,656.90/77,762.30
  6. Step 6: Final answer
    x = 79,318.65

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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.