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Finding the Fourth Proportional to 86,698.16, 130,073.45 and 61,446.51

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Solution

The fourth proportional to 86,698.16, 130,073.45 and 61,446.51 is: 92,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,698.16 : 130,073.45 = 61,446.51 : x
  2. Step 2: Convert to fraction form
    86,698.16/130,073.45 = 61,446.51/x
  3. Step 3: Cross multiply
    86,698.16x = 130,073.45 × 61,446.51
  4. Step 4: Simplify right side
    86,698.16x = 7,992,558,588.56
  5. Step 5: Solve for x
    x = 7,992,558,588.56/86,698.16
  6. Step 6: Final answer
    x = 92,188.34

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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.