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Finding the Fourth Proportional to 123,129.68, 184,447.87 and 56,478.02

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Solution

The fourth proportional to 123,129.68, 184,447.87 and 56,478.02 is: 84,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,129.68 : 184,447.87 = 56,478.02 : x
  2. Step 2: Convert to fraction form
    123,129.68/184,447.87 = 56,478.02/x
  3. Step 3: Cross multiply
    123,129.68x = 184,447.87 × 56,478.02
  4. Step 4: Simplify right side
    123,129.68x = 10,417,249,427.38
  5. Step 5: Solve for x
    x = 10,417,249,427.38/123,129.68
  6. Step 6: Final answer
    x = 84,603.89

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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.