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Finding the Fourth Proportional to 128,970.10, 193,127.10 and 123,065.20

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Solution

The fourth proportional to 128,970.10, 193,127.10 and 123,065.20 is: 184,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,970.10 : 193,127.10 = 123,065.20 : x
  2. Step 2: Convert to fraction form
    128,970.10/193,127.10 = 123,065.20/x
  3. Step 3: Cross multiply
    128,970.10x = 193,127.10 × 123,065.20
  4. Step 4: Simplify right side
    128,970.10x = 23,767,225,186.92
  5. Step 5: Solve for x
    x = 23,767,225,186.92/128,970.10
  6. Step 6: Final answer
    x = 184,284.77

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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.