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Finding the Fourth Proportional to 70,319.24, 105,465.42 and 21,071.24

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Solution

The fourth proportional to 70,319.24, 105,465.42 and 21,071.24 is: 31,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,319.24 : 105,465.42 = 21,071.24 : x
  2. Step 2: Convert to fraction form
    70,319.24/105,465.42 = 21,071.24/x
  3. Step 3: Cross multiply
    70,319.24x = 105,465.42 × 21,071.24
  4. Step 4: Simplify right side
    70,319.24x = 2,222,287,176.52
  5. Step 5: Solve for x
    x = 2,222,287,176.52/70,319.24
  6. Step 6: Final answer
    x = 31,602.83

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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.