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Finding the Fourth Proportional to 70,931.72, 106,413.12 and 21,015.74

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Solution

The fourth proportional to 70,931.72, 106,413.12 and 21,015.74 is: 31,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,931.72 : 106,413.12 = 21,015.74 : x
  2. Step 2: Convert to fraction form
    70,931.72/106,413.12 = 21,015.74/x
  3. Step 3: Cross multiply
    70,931.72x = 106,413.12 × 21,015.74
  4. Step 4: Simplify right side
    70,931.72x = 2,236,349,930.44
  5. Step 5: Solve for x
    x = 2,236,349,930.44/70,931.72
  6. Step 6: Final answer
    x = 31,528.21

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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.