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Finding the Fourth Proportional to 70,509.11, 105,741.74 and 23,113.78

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Solution

The fourth proportional to 70,509.11, 105,741.74 and 23,113.78 is: 34,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.11 : 105,741.74 = 23,113.78 : x
  2. Step 2: Convert to fraction form
    70,509.11/105,741.74 = 23,113.78/x
  3. Step 3: Cross multiply
    70,509.11x = 105,741.74 × 23,113.78
  4. Step 4: Simplify right side
    70,509.11x = 2,444,091,108.61
  5. Step 5: Solve for x
    x = 2,444,091,108.61/70,509.11
  6. Step 6: Final answer
    x = 34,663.48

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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.