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Finding the Fourth Proportional to 70,277.16, 105,429.86 and 25,904.16

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Solution

The fourth proportional to 70,277.16, 105,429.86 and 25,904.16 is: 38,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,277.16 : 105,429.86 = 25,904.16 : x
  2. Step 2: Convert to fraction form
    70,277.16/105,429.86 = 25,904.16/x
  3. Step 3: Cross multiply
    70,277.16x = 105,429.86 × 25,904.16
  4. Step 4: Simplify right side
    70,277.16x = 2,731,071,962.22
  5. Step 5: Solve for x
    x = 2,731,071,962.22/70,277.16
  6. Step 6: Final answer
    x = 38,861.44

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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.