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Finding the Fourth Proportional to 81,409.61, 121,904.11 and 56,186.98

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Solution

The fourth proportional to 81,409.61, 121,904.11 and 56,186.98 is: 84,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.61 : 121,904.11 = 56,186.98 : x
  2. Step 2: Convert to fraction form
    81,409.61/121,904.11 = 56,186.98/x
  3. Step 3: Cross multiply
    81,409.61x = 121,904.11 × 56,186.98
  4. Step 4: Simplify right side
    81,409.61x = 6,849,423,345.26
  5. Step 5: Solve for x
    x = 6,849,423,345.26/81,409.61
  6. Step 6: Final answer
    x = 84,135.31

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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.