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Finding the Fourth Proportional to 70,578, 97,406.28 and 40,770

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Solution

The fourth proportional to 70,578, 97,406.28 and 40,770 is: 56,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578 : 97,406.28 = 40,770 : x
  2. Step 2: Convert to fraction form
    70,578/97,406.28 = 40,770/x
  3. Step 3: Cross multiply
    70,578x = 97,406.28 × 40,770
  4. Step 4: Simplify right side
    70,578x = 3,971,254,035.60
  5. Step 5: Solve for x
    x = 3,971,254,035.60/70,578
  6. Step 6: Final answer
    x = 56,267.59

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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.