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Finding the Fourth Proportional to 122,389.68, 183,562.68 and 77,884.32

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Solution

The fourth proportional to 122,389.68, 183,562.68 and 77,884.32 is: 116,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,389.68 : 183,562.68 = 77,884.32 : x
  2. Step 2: Convert to fraction form
    122,389.68/183,562.68 = 77,884.32/x
  3. Step 3: Cross multiply
    122,389.68x = 183,562.68 × 77,884.32
  4. Step 4: Simplify right side
    122,389.68x = 14,296,654,509.18
  5. Step 5: Solve for x
    x = 14,296,654,509.18/122,389.68
  6. Step 6: Final answer
    x = 116,812.58

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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.