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Finding the Fourth Proportional to 85,030.64, 127,541.64 and 25,865

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Solution

The fourth proportional to 85,030.64, 127,541.64 and 25,865 is: 38,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,030.64 : 127,541.64 = 25,865 : x
  2. Step 2: Convert to fraction form
    85,030.64/127,541.64 = 25,865/x
  3. Step 3: Cross multiply
    85,030.64x = 127,541.64 × 25,865
  4. Step 4: Simplify right side
    85,030.64x = 3,298,864,518.60
  5. Step 5: Solve for x
    x = 3,298,864,518.60/85,030.64
  6. Step 6: Final answer
    x = 38,796.19

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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.