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Finding the Fourth Proportional to 123,419.60, 185,021.40 and 83,848.40

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Solution

The fourth proportional to 123,419.60, 185,021.40 and 83,848.40 is: 125,699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419.60 : 185,021.40 = 83,848.40 : x
  2. Step 2: Convert to fraction form
    123,419.60/185,021.40 = 83,848.40/x
  3. Step 3: Cross multiply
    123,419.60x = 185,021.40 × 83,848.40
  4. Step 4: Simplify right side
    123,419.60x = 15,513,748,355.76
  5. Step 5: Solve for x
    x = 15,513,748,355.76/123,419.60
  6. Step 6: Final answer
    x = 125,699.23

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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.