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Finding the Fourth Proportional to 218,420.16, 301,369.95 and 122,892.00

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Solution

The fourth proportional to 218,420.16, 301,369.95 and 122,892.00 is: 169,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,420.16 : 301,369.95 = 122,892.00 : x
  2. Step 2: Convert to fraction form
    218,420.16/301,369.95 = 122,892.00/x
  3. Step 3: Cross multiply
    218,420.16x = 301,369.95 × 122,892.00
  4. Step 4: Simplify right side
    218,420.16x = 37,035,955,602.82
  5. Step 5: Solve for x
    x = 37,035,955,602.82/218,420.16
  6. Step 6: Final answer
    x = 169,562.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.