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Finding the Fourth Proportional to 70,277.60, 96,978.96 and 38,440.16

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Solution

The fourth proportional to 70,277.60, 96,978.96 and 38,440.16 is: 53,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,277.60 : 96,978.96 = 38,440.16 : x
  2. Step 2: Convert to fraction form
    70,277.60/96,978.96 = 38,440.16/x
  3. Step 3: Cross multiply
    70,277.60x = 96,978.96 × 38,440.16
  4. Step 4: Simplify right side
    70,277.60x = 3,727,886,739.03
  5. Step 5: Solve for x
    x = 3,727,886,739.03/70,277.60
  6. Step 6: Final answer
    x = 53,045.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.