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Finding the Fourth Proportional to 70,970.16, 97,939.44 and 39,140.16

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Solution

The fourth proportional to 70,970.16, 97,939.44 and 39,140.16 is: 54,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.16 : 97,939.44 = 39,140.16 : x
  2. Step 2: Convert to fraction form
    70,970.16/97,939.44 = 39,140.16/x
  3. Step 3: Cross multiply
    70,970.16x = 97,939.44 × 39,140.16
  4. Step 4: Simplify right side
    70,970.16x = 3,833,365,351.91
  5. Step 5: Solve for x
    x = 3,833,365,351.91/70,970.16
  6. Step 6: Final answer
    x = 54,013.76

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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.