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Finding the Fourth Proportional to 70,645, 97,503.06 and 40,837

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Solution

The fourth proportional to 70,645, 97,503.06 and 40,837 is: 56,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,645 : 97,503.06 = 40,837 : x
  2. Step 2: Convert to fraction form
    70,645/97,503.06 = 40,837/x
  3. Step 3: Cross multiply
    70,645x = 97,503.06 × 40,837
  4. Step 4: Simplify right side
    70,645x = 3,981,732,461.22
  5. Step 5: Solve for x
    x = 3,981,732,461.22/70,645
  6. Step 6: Final answer
    x = 56,362.55

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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.