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Finding the Fourth Proportional to 208,970.88, 288,381.24 and 122,981.28

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Solution

The fourth proportional to 208,970.88, 288,381.24 and 122,981.28 is: 169,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,970.88 : 288,381.24 = 122,981.28 : x
  2. Step 2: Convert to fraction form
    208,970.88/288,381.24 = 122,981.28/x
  3. Step 3: Cross multiply
    208,970.88x = 288,381.24 × 122,981.28
  4. Step 4: Simplify right side
    208,970.88x = 35,465,494,023.19
  5. Step 5: Solve for x
    x = 35,465,494,023.19/208,970.88
  6. Step 6: Final answer
    x = 169,715.01

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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.