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Finding the Fourth Proportional to 70,410.70, 97,164.66 and 38,578.51

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Solution

The fourth proportional to 70,410.70, 97,164.66 and 38,578.51 is: 53,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,410.70 : 97,164.66 = 38,578.51 : x
  2. Step 2: Convert to fraction form
    70,410.70/97,164.66 = 38,578.51/x
  3. Step 3: Cross multiply
    70,410.70x = 97,164.66 × 38,578.51
  4. Step 4: Simplify right side
    70,410.70x = 3,748,467,807.46
  5. Step 5: Solve for x
    x = 3,748,467,807.46/70,410.70
  6. Step 6: Final answer
    x = 53,237.19

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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.