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Finding the Fourth Proportional to 86,894.40, 130,384.80 and 34,305.60

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Solution

The fourth proportional to 86,894.40, 130,384.80 and 34,305.60 is: 51,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,894.40 : 130,384.80 = 34,305.60 : x
  2. Step 2: Convert to fraction form
    86,894.40/130,384.80 = 34,305.60/x
  3. Step 3: Cross multiply
    86,894.40x = 130,384.80 × 34,305.60
  4. Step 4: Simplify right side
    86,894.40x = 4,472,928,794.88
  5. Step 5: Solve for x
    x = 4,472,928,794.88/86,894.40
  6. Step 6: Final answer
    x = 51,475.46

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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.