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Finding the Fourth Proportional to 86,842.32, 130,263.48 and 21,178.32

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Solution

The fourth proportional to 86,842.32, 130,263.48 and 21,178.32 is: 31,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,842.32 : 130,263.48 = 21,178.32 : x
  2. Step 2: Convert to fraction form
    86,842.32/130,263.48 = 21,178.32/x
  3. Step 3: Cross multiply
    86,842.32x = 130,263.48 × 21,178.32
  4. Step 4: Simplify right side
    86,842.32x = 2,758,761,663.75
  5. Step 5: Solve for x
    x = 2,758,761,663.75/86,842.32
  6. Step 6: Final answer
    x = 31,767.48

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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.