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Finding the Fourth Proportional to 86,976.78, 130,465.17 and 21,312.78

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Solution

The fourth proportional to 86,976.78, 130,465.17 and 21,312.78 is: 31,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,976.78 : 130,465.17 = 21,312.78 : x
  2. Step 2: Convert to fraction form
    86,976.78/130,465.17 = 21,312.78/x
  3. Step 3: Cross multiply
    86,976.78x = 130,465.17 × 21,312.78
  4. Step 4: Simplify right side
    86,976.78x = 2,780,575,465.87
  5. Step 5: Solve for x
    x = 2,780,575,465.87/86,976.78
  6. Step 6: Final answer
    x = 31,969.17

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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.