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Finding the Fourth Proportional to 77,101.50, 115,593.65 and 53,345.90

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Solution

The fourth proportional to 77,101.50, 115,593.65 and 53,345.90 is: 79,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101.50 : 115,593.65 = 53,345.90 : x
  2. Step 2: Convert to fraction form
    77,101.50/115,593.65 = 53,345.90/x
  3. Step 3: Cross multiply
    77,101.50x = 115,593.65 × 53,345.90
  4. Step 4: Simplify right side
    77,101.50x = 6,166,446,448.84
  5. Step 5: Solve for x
    x = 6,166,446,448.84/77,101.50
  6. Step 6: Final answer
    x = 79,978.29

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1.5x scale

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.