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Finding the Fourth Proportional to 86,099.76, 128,945.52 and 54,840.24

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Solution

The fourth proportional to 86,099.76, 128,945.52 and 54,840.24 is: 82,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,099.76 : 128,945.52 = 54,840.24 : x
  2. Step 2: Convert to fraction form
    86,099.76/128,945.52 = 54,840.24/x
  3. Step 3: Cross multiply
    86,099.76x = 128,945.52 × 54,840.24
  4. Step 4: Simplify right side
    86,099.76x = 7,071,403,263.72
  5. Step 5: Solve for x
    x = 7,071,403,263.72/86,099.76
  6. Step 6: Final answer
    x = 82,130.35

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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.