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Finding the Fourth Proportional to 86,983, 130,474.50 and 21,319

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Solution

The fourth proportional to 86,983, 130,474.50 and 21,319 is: 31,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,983 : 130,474.50 = 21,319 : x
  2. Step 2: Convert to fraction form
    86,983/130,474.50 = 21,319/x
  3. Step 3: Cross multiply
    86,983x = 130,474.50 × 21,319
  4. Step 4: Simplify right side
    86,983x = 2,781,585,865.50
  5. Step 5: Solve for x
    x = 2,781,585,865.50/86,983
  6. Step 6: Final answer
    x = 31,978.50

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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.