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Finding the Fourth Proportional to 77,566.55, 116,356.52 and 21,406.66

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Solution

The fourth proportional to 77,566.55, 116,356.52 and 21,406.66 is: 32,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,566.55 : 116,356.52 = 21,406.66 : x
  2. Step 2: Convert to fraction form
    77,566.55/116,356.52 = 21,406.66/x
  3. Step 3: Cross multiply
    77,566.55x = 116,356.52 × 21,406.66
  4. Step 4: Simplify right side
    77,566.55x = 2,490,804,225.05
  5. Step 5: Solve for x
    x = 2,490,804,225.05/77,566.55
  6. Step 6: Final answer
    x = 32,111.84

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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.