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Finding the Fourth Proportional to 115,277.52, 159,214.16 and 77,486.16

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Solution

The fourth proportional to 115,277.52, 159,214.16 and 77,486.16 is: 107,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,277.52 : 159,214.16 = 77,486.16 : x
  2. Step 2: Convert to fraction form
    115,277.52/159,214.16 = 77,486.16/x
  3. Step 3: Cross multiply
    115,277.52x = 159,214.16 × 77,486.16
  4. Step 4: Simplify right side
    115,277.52x = 12,336,893,876.03
  5. Step 5: Solve for x
    x = 12,336,893,876.03/115,277.52
  6. Step 6: Final answer
    x = 107,019.08

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1.5x scale

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.