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Finding the Fourth Proportional to 70,471.32, 97,243.60 and 42,176.40

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Solution

The fourth proportional to 70,471.32, 97,243.60 and 42,176.40 is: 58,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471.32 : 97,243.60 = 42,176.40 : x
  2. Step 2: Convert to fraction form
    70,471.32/97,243.60 = 42,176.40/x
  3. Step 3: Cross multiply
    70,471.32x = 97,243.60 × 42,176.40
  4. Step 4: Simplify right side
    70,471.32x = 4,101,384,971.04
  5. Step 5: Solve for x
    x = 4,101,384,971.04/70,471.32
  6. Step 6: Final answer
    x = 58,199.35

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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.