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Finding the Fourth Proportional to 115,278, 159,214.86 and 77,486.64

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Solution

The fourth proportional to 115,278, 159,214.86 and 77,486.64 is: 107,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,278 : 159,214.86 = 77,486.64 : x
  2. Step 2: Convert to fraction form
    115,278/159,214.86 = 77,486.64/x
  3. Step 3: Cross multiply
    115,278x = 159,214.86 × 77,486.64
  4. Step 4: Simplify right side
    115,278x = 12,337,024,539.47
  5. Step 5: Solve for x
    x = 12,337,024,539.47/115,278
  6. Step 6: Final answer
    x = 107,019.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.