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Finding the Fourth Proportional to 78,465.84, 117,699.12 and 19,301.52

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Solution

The fourth proportional to 78,465.84, 117,699.12 and 19,301.52 is: 28,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.84 : 117,699.12 = 19,301.52 : x
  2. Step 2: Convert to fraction form
    78,465.84/117,699.12 = 19,301.52/x
  3. Step 3: Cross multiply
    78,465.84x = 117,699.12 × 19,301.52
  4. Step 4: Simplify right side
    78,465.84x = 2,271,771,918.66
  5. Step 5: Solve for x
    x = 2,271,771,918.66/78,465.84
  6. Step 6: Final answer
    x = 28,952.37

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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.