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Finding the Fourth Proportional to 70,655.50, 105,983.50 and 21,407.50

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Solution

The fourth proportional to 70,655.50, 105,983.50 and 21,407.50 is: 32,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,655.50 : 105,983.50 = 21,407.50 : x
  2. Step 2: Convert to fraction form
    70,655.50/105,983.50 = 21,407.50/x
  3. Step 3: Cross multiply
    70,655.50x = 105,983.50 × 21,407.50
  4. Step 4: Simplify right side
    70,655.50x = 2,268,841,776.25
  5. Step 5: Solve for x
    x = 2,268,841,776.25/70,655.50
  6. Step 6: Final answer
    x = 32,111.33

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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.